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The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees
| The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees |
| Autore | Bruner R. R (Robert Ray), <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Finite groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0383-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 0. Introduction""; ""0.1. Motivation""; ""0.2. Highlights of Chapter 1""; ""0.3. Highlights of Chapter 2""; ""0.4. Highlights of Chapter 3""; ""0.5. Highlights of Chapter 4""; ""0.6. Reading guide""; ""0.7. Acknowledgements""; ""Chapter 1. General properties of the ku-cohomology of finite groups""; ""1.1. Varieties for connective K-theory""; ""1.2. Implications for minimal primes""; ""1.3. Euler classes and Chern classes""; ""1.4. Bockstein spectral sequences""; ""1.5. The Kiinneth theorem""; ""Chapter 2. Examples of ku-cohomology of finite groups""
""2.1. The technique""""2.2. Cyclic groups""; ""2.3. Nonabelian groups of order pq""; ""2.4. Quaternion groups""; ""2.5. Dihedral groups""; ""2.6. The alternating group of degree 4""; ""Chapter 3. The ku-homology of finite groups""; ""3.1. General behaviour of ku[sub(*)](BG)""; ""3.2. The universal coefficient theorem""; ""3.3. Local cohomology and duality""; ""3.4. The ku-homology of cyclic and quaternion groups""; ""3.5. The ku-homology of BD[sub(8)]""; ""3.6. Tate cohomology""; ""Chapter 4. The ku-homology and ku-cohomology of elementary abelian groups""; ""4.1. Description of results"" ""4.2. The ku-cohomology of elementary abelian groups""""4.3. What local cohomology ought to look like""; ""4.4. The local cohomology of Q""; ""4.5. The 2-adic filtration of the local cohomology of Q""; ""4.6. A free resolution of T""; ""4.7. The local cohomology of T""; ""4.8. Hilbert series""; ""4.9. The quotient P/T[sub(2)]""; ""4.10. The local cohomology of R""; ""4.11. The ku-homology of BV""; ""4.12. Duality for the cohomology of elementary abelian groups""; ""4.13. Tate cohomology of elementary abelian groups""; ""Appendix A. Conventions""; ""A.1. General conventions"" ""A.2. Adams spectral sequence conventions""""Appendix B. Indices""; ""B.1. Index of calculations""; ""B.2. Index of symbols""; ""B.3. Index of notation""; ""B.4. Index of terminology""; ""Bibliography"" |
| Record Nr. | UNINA-9910480176903321 |
Bruner R. R (Robert Ray), <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees
| The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees |
| Autore | Bruner R. R (Robert Ray), <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Finite groups |
| ISBN | 1-4704-0383-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 0. Introduction""; ""0.1. Motivation""; ""0.2. Highlights of Chapter 1""; ""0.3. Highlights of Chapter 2""; ""0.4. Highlights of Chapter 3""; ""0.5. Highlights of Chapter 4""; ""0.6. Reading guide""; ""0.7. Acknowledgements""; ""Chapter 1. General properties of the ku-cohomology of finite groups""; ""1.1. Varieties for connective K-theory""; ""1.2. Implications for minimal primes""; ""1.3. Euler classes and Chern classes""; ""1.4. Bockstein spectral sequences""; ""1.5. The Kiinneth theorem""; ""Chapter 2. Examples of ku-cohomology of finite groups""
""2.1. The technique""""2.2. Cyclic groups""; ""2.3. Nonabelian groups of order pq""; ""2.4. Quaternion groups""; ""2.5. Dihedral groups""; ""2.6. The alternating group of degree 4""; ""Chapter 3. The ku-homology of finite groups""; ""3.1. General behaviour of ku[sub(*)](BG)""; ""3.2. The universal coefficient theorem""; ""3.3. Local cohomology and duality""; ""3.4. The ku-homology of cyclic and quaternion groups""; ""3.5. The ku-homology of BD[sub(8)]""; ""3.6. Tate cohomology""; ""Chapter 4. The ku-homology and ku-cohomology of elementary abelian groups""; ""4.1. Description of results"" ""4.2. The ku-cohomology of elementary abelian groups""""4.3. What local cohomology ought to look like""; ""4.4. The local cohomology of Q""; ""4.5. The 2-adic filtration of the local cohomology of Q""; ""4.6. A free resolution of T""; ""4.7. The local cohomology of T""; ""4.8. Hilbert series""; ""4.9. The quotient P/T[sub(2)]""; ""4.10. The local cohomology of R""; ""4.11. The ku-homology of BV""; ""4.12. Duality for the cohomology of elementary abelian groups""; ""4.13. Tate cohomology of elementary abelian groups""; ""Appendix A. Conventions""; ""A.1. General conventions"" ""A.2. Adams spectral sequence conventions""""Appendix B. Indices""; ""B.1. Index of calculations""; ""B.2. Index of symbols""; ""B.3. Index of notation""; ""B.4. Index of terminology""; ""Bibliography"" |
| Record Nr. | UNINA-9910788850403321 |
|
Bruner R. R (Robert Ray), <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees
| The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees |
| Autore | Bruner R. R (Robert Ray), <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
K-theory
Finite groups |
| ISBN | 1-4704-0383-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 0. Introduction""; ""0.1. Motivation""; ""0.2. Highlights of Chapter 1""; ""0.3. Highlights of Chapter 2""; ""0.4. Highlights of Chapter 3""; ""0.5. Highlights of Chapter 4""; ""0.6. Reading guide""; ""0.7. Acknowledgements""; ""Chapter 1. General properties of the ku-cohomology of finite groups""; ""1.1. Varieties for connective K-theory""; ""1.2. Implications for minimal primes""; ""1.3. Euler classes and Chern classes""; ""1.4. Bockstein spectral sequences""; ""1.5. The Kiinneth theorem""; ""Chapter 2. Examples of ku-cohomology of finite groups""
""2.1. The technique""""2.2. Cyclic groups""; ""2.3. Nonabelian groups of order pq""; ""2.4. Quaternion groups""; ""2.5. Dihedral groups""; ""2.6. The alternating group of degree 4""; ""Chapter 3. The ku-homology of finite groups""; ""3.1. General behaviour of ku[sub(*)](BG)""; ""3.2. The universal coefficient theorem""; ""3.3. Local cohomology and duality""; ""3.4. The ku-homology of cyclic and quaternion groups""; ""3.5. The ku-homology of BD[sub(8)]""; ""3.6. Tate cohomology""; ""Chapter 4. The ku-homology and ku-cohomology of elementary abelian groups""; ""4.1. Description of results"" ""4.2. The ku-cohomology of elementary abelian groups""""4.3. What local cohomology ought to look like""; ""4.4. The local cohomology of Q""; ""4.5. The 2-adic filtration of the local cohomology of Q""; ""4.6. A free resolution of T""; ""4.7. The local cohomology of T""; ""4.8. Hilbert series""; ""4.9. The quotient P/T[sub(2)]""; ""4.10. The local cohomology of R""; ""4.11. The ku-homology of BV""; ""4.12. Duality for the cohomology of elementary abelian groups""; ""4.13. Tate cohomology of elementary abelian groups""; ""Appendix A. Conventions""; ""A.1. General conventions"" ""A.2. Adams spectral sequence conventions""""Appendix B. Indices""; ""B.1. Index of calculations""; ""B.2. Index of symbols""; ""B.3. Index of notation""; ""B.4. Index of terminology""; ""Bibliography"" |
| Record Nr. | UNINA-9910812751503321 |
|
Bruner R. R (Robert Ray), <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910480452703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910788654803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910812585003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||