03777nam 2200601 450 991048017690332120170822144320.01-4704-0383-8(CKB)3360000000464969(EBL)3114476(SSID)ssj0000888849(PQKBManifestationID)11483282(PQKBTitleCode)TC0000888849(PQKBWorkID)10864680(PQKB)10213884(MiAaPQ)EBC3114476(PPN)195416716(EXLCZ)99336000000046496920030430h20032003 uy| 0engur|n|---|||||txtccrThe connective K-theory of finite groups /R.R. Bruner, J.P.C. GreenleesProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (144 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 785"Volume 165, number 785 (second of 4 numbers)."0-8218-3366-9 Includes bibliographical references (pages 125-127) and indexes.""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""Memoirs of the American Mathematical Society ;no. 785.K-theoryFinite groupsElectronic books.K-theory.Finite groups.510 s514/.23Bruner R. R(Robert Ray),1950-982391Greenlees J. P. C(John Patrick Campbell),1959-MiAaPQMiAaPQMiAaPQBOOK9910480176903321The connective K-theory of finite groups2242186UNINA