The local structure of finite groups of characteristic 2 type / / Daniel Gorenstein and Richard Lyons |
Autore | Gorenstein Daniel |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (742 p.) |
Disciplina |
510 s
512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Finite simple groups |
ISBN | 1-4704-0686-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""General Introduction""; ""Part I: Properties of K-groups and Preliminary Lemmas""; ""Chapter 1. Introduction""; ""Â1. Notation""; ""Â2. p-layers""; ""Â3. The known simple groups""; ""Â4. Preliminaries concerning groups of Lie type""; ""Â5. Basic properties of the sporadic groups""; ""Chapter 2. Decorations of the known simple groups""; ""Â6. Schur multipliers and covering groups of the known simple groups""; ""Â7. Automorphisms of the known simple groups""; ""Chapter 3. Local subgroups of the known simple groups""
""Â8. The local structure of classical groups, as seen on their natural modules""""Â9. Outer automorphisms of Chevalley groups""; ""Â10. Sylow structure, p-rank, and 2-local p-rank of the known simple groups""; ""Â11. The permutation action of large elementary abelian p-groups on p-components of K-groups""; ""Â12. p-fusion in the known simple groups""; ""Â13. Parabolic subgroups of Chevalley groups""; ""Â14. Subcomponents and pumpups of the known simple groups""; ""Â15. Action of commuting p-elements on subcomponents of known simple groups"" ""Â16. Splitting primes for groups in Chev (2)""""Â17. Standard subcomponents of groups in Chev (2)""; ""Chapter 4. Balance and signalizers""; ""Â18. L[sub(p)],-balance and related results""; ""Â19. Local and global balance""; ""Â20. Signalizers in the known simple groups""; ""Â21. Signalizer functors""; ""Chapter 5. Generational properties of K-groups""; ""Â22. Generation""; ""Â23. Generation of K-groups""; ""Â24. Strongly p-embedded subgroups and proper k-generated cores in K-groups""; ""Â25. Generation of pumpups of the known simple groups""; ""Â26. Existence of layers"" ""Â27. Balance vs. generation""""Chapter 6. Factorizations""; ""Â28. Factorizations in K-groups""; ""Chapter 7. Miscellaneous general results and lemmas about K-groups""; ""Â29. Groups with self-centralizing elementary abelian subgroups of low rank""; ""Â30. Miscellaneous special lemmas""; ""Â31. p-groups and connectedness""; ""Â32. Miscellaneous general lemmas""; ""Â33. The fundamental property of groups of characteristic 2 type""; ""Appendix""; ""Â34. Elements of order 3 in Chevalley groups of characteristic 2""; ""Part II: The Trichotomy Theorem""; ""Chapter 1. Odd standard form"" ""Â1. Introduction""""Â2. A preliminary lemma""; ""Â3. The p-constrained case""; ""Â4. Maximal p-components""; ""Â5. Partial standard form""; ""Â6. The characteristic of L""; ""Â7. The alternating case""; ""Â8. The sporadic case""; ""Â9. Quasisimplicity""; ""Â10. The embedding of B: field automorphisms""; ""Â11. The embedding of B: splitting and half-splitting primes""; ""Â12. Neighbors""; ""Â13. Coda""; ""Chapter 2. Signalizer functors and weak proper 2-generated p- cores""; ""Â1. Introduction""; ""Â2. Balance""; ""Â3. The p- components of 1[sub(b)]"" ""Â4. Signalizer functors and pre-uniqueness subgroups"" |
Record Nr. | UNINA-9910788898803321 |
Gorenstein Daniel
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The local structure of finite groups of characteristic 2 type / / Daniel Gorenstein and Richard Lyons |
Autore | Gorenstein Daniel |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (742 p.) |
Disciplina |
510 s
512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Finite simple groups |
ISBN | 1-4704-0686-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""General Introduction""; ""Part I: Properties of K-groups and Preliminary Lemmas""; ""Chapter 1. Introduction""; ""Â1. Notation""; ""Â2. p-layers""; ""Â3. The known simple groups""; ""Â4. Preliminaries concerning groups of Lie type""; ""Â5. Basic properties of the sporadic groups""; ""Chapter 2. Decorations of the known simple groups""; ""Â6. Schur multipliers and covering groups of the known simple groups""; ""Â7. Automorphisms of the known simple groups""; ""Chapter 3. Local subgroups of the known simple groups""
""Â8. The local structure of classical groups, as seen on their natural modules""""Â9. Outer automorphisms of Chevalley groups""; ""Â10. Sylow structure, p-rank, and 2-local p-rank of the known simple groups""; ""Â11. The permutation action of large elementary abelian p-groups on p-components of K-groups""; ""Â12. p-fusion in the known simple groups""; ""Â13. Parabolic subgroups of Chevalley groups""; ""Â14. Subcomponents and pumpups of the known simple groups""; ""Â15. Action of commuting p-elements on subcomponents of known simple groups"" ""Â16. Splitting primes for groups in Chev (2)""""Â17. Standard subcomponents of groups in Chev (2)""; ""Chapter 4. Balance and signalizers""; ""Â18. L[sub(p)],-balance and related results""; ""Â19. Local and global balance""; ""Â20. Signalizers in the known simple groups""; ""Â21. Signalizer functors""; ""Chapter 5. Generational properties of K-groups""; ""Â22. Generation""; ""Â23. Generation of K-groups""; ""Â24. Strongly p-embedded subgroups and proper k-generated cores in K-groups""; ""Â25. Generation of pumpups of the known simple groups""; ""Â26. Existence of layers"" ""Â27. Balance vs. generation""""Chapter 6. Factorizations""; ""Â28. Factorizations in K-groups""; ""Chapter 7. Miscellaneous general results and lemmas about K-groups""; ""Â29. Groups with self-centralizing elementary abelian subgroups of low rank""; ""Â30. Miscellaneous special lemmas""; ""Â31. p-groups and connectedness""; ""Â32. Miscellaneous general lemmas""; ""Â33. The fundamental property of groups of characteristic 2 type""; ""Appendix""; ""Â34. Elements of order 3 in Chevalley groups of characteristic 2""; ""Part II: The Trichotomy Theorem""; ""Chapter 1. Odd standard form"" ""Â1. Introduction""""Â2. A preliminary lemma""; ""Â3. The p-constrained case""; ""Â4. Maximal p-components""; ""Â5. Partial standard form""; ""Â6. The characteristic of L""; ""Â7. The alternating case""; ""Â8. The sporadic case""; ""Â9. Quasisimplicity""; ""Â10. The embedding of B: field automorphisms""; ""Â11. The embedding of B: splitting and half-splitting primes""; ""Â12. Neighbors""; ""Â13. Coda""; ""Chapter 2. Signalizer functors and weak proper 2-generated p- cores""; ""Â1. Introduction""; ""Â2. Balance""; ""Â3. The p- components of 1[sub(b)]"" ""Â4. Signalizer functors and pre-uniqueness subgroups"" |
Record Nr. | UNINA-9910817126603321 |
Gorenstein Daniel
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Logarithmic descriptions of Whitehead groups and class groups for p-groups / / Robert Oliver and Laurence R. Taylor |
Autore | Oliver Robert <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (109 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Whitehead groups
Localization theory p-adic logarithms |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0812-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""0. Summary of results""; ""1. Localization sequences and logarithms""; ""2. Factoring homomorphisms of functors on p-groups""; ""3. The main theorem""; ""4. Wh'(G) for finite 2-groups G""; ""5. D(ZG) for 2-groups""; ""6. Classgroups of GxC[sup(k)][sub(2)]""; ""7. Wh'(G) and D(ZG) for odd p-groups""; ""Bibliography"" |
Record Nr. | UNINA-9910480579103321 |
Oliver Robert <1949->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Logarithmic descriptions of Whitehead groups and class groups for p-groups / / Robert Oliver and Laurence R. Taylor |
Autore | Oliver Robert <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (109 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Whitehead groups
Localization theory p-adic logarithms |
ISBN | 1-4704-0812-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""0. Summary of results""; ""1. Localization sequences and logarithms""; ""2. Factoring homomorphisms of functors on p-groups""; ""3. The main theorem""; ""4. Wh'(G) for finite 2-groups G""; ""5. D(ZG) for 2-groups""; ""6. Classgroups of GxC[sup(k)][sub(2)]""; ""7. Wh'(G) and D(ZG) for odd p-groups""; ""Bibliography"" |
Record Nr. | UNINA-9910788870403321 |
Oliver Robert <1949->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Logarithmic descriptions of Whitehead groups and class groups for p-groups / / Robert Oliver and Laurence R. Taylor |
Autore | Oliver Robert <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (109 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Whitehead groups
Localization theory p-adic logarithms |
ISBN | 1-4704-0812-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""0. Summary of results""; ""1. Localization sequences and logarithms""; ""2. Factoring homomorphisms of functors on p-groups""; ""3. The main theorem""; ""4. Wh'(G) for finite 2-groups G""; ""5. D(ZG) for 2-groups""; ""6. Classgroups of GxC[sup(k)][sub(2)]""; ""7. Wh'(G) and D(ZG) for odd p-groups""; ""Bibliography"" |
Record Nr. | UNINA-9910811638403321 |
Oliver Robert <1949->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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The Model theory of groups / / Ali Nesin and Anand Pillay, editors [[electronic resource]] |
Pubbl/distr/stampa | Notre Dame, Ind., : University of Notre Dame Press, c1989 |
Descrizione fisica | 1 online resource (v, 209 p. ) |
Disciplina |
510 s
512/.22 |
Altri autori (Persone) |
NesinAli
PillayAnand |
Collana |
Notre Dame mathematical lectures The Model theory of groups
Notre Dame mathematical lectures |
Soggetto topico |
Group theory
Mathematics Physical Sciences & Mathematics Algebra Mathematical Theory |
ISBN | 0-268-01371-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996200220303316 |
Notre Dame, Ind., : University of Notre Dame Press, c1989 | ||
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Lo trovi qui: Univ. di Salerno | ||
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The Model theory of groups / / Ali Nesin and Anand Pillay, editors [[electronic resource]] |
Pubbl/distr/stampa | Notre Dame, Ind., : University of Notre Dame Press, c1989 |
Descrizione fisica | 1 online resource (v, 209 p. ) |
Disciplina |
510 s
512/.22 |
Altri autori (Persone) |
NesinAli
PillayAnand |
Collana |
Notre Dame mathematical lectures The Model theory of groups
Notre Dame mathematical lectures |
Soggetto topico |
Group theory
Mathematics Physical Sciences & Mathematics Algebra Mathematical Theory |
ISBN | 0-268-01371-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910143139703321 |
Notre Dame, Ind., : University of Notre Dame Press, c1989 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Moufang loops of small order / / Orin Chein |
Autore | Chein Orin <1943-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
Descrizione fisica | 1 online resource (139 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Moufang loops |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0202-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
Record Nr. | UNINA-9910480776703321 |
Chein Orin <1943->
![]() |
||
Providence : , : American Mathematical Society, , [1978] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Moufang loops of small order / / Orin Chein |
Autore | Chein Orin <1943-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
Descrizione fisica | 1 online resource (139 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Moufang loops |
ISBN | 1-4704-0202-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
Record Nr. | UNINA-9910788890003321 |
Chein Orin <1943->
![]() |
||
Providence : , : American Mathematical Society, , [1978] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Moufang loops of small order / / Orin Chein |
Autore | Chein Orin <1943-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
Descrizione fisica | 1 online resource (139 p.) |
Disciplina | 512/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Moufang loops |
ISBN | 1-4704-0202-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
Record Nr. | UNINA-9910828122003321 |
Chein Orin <1943->
![]() |
||
Providence : , : American Mathematical Society, , [1978] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|