Cohomology of Finite Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
309 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an in-depth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade. -Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged |
| Beschreibung: | 1 Online-Ressource (VIII, 324 p) |
| ISBN: | 9783662062807 9783642057854 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-662-06280-7 |
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| 245 | 1 | 0 | |a Cohomology of Finite Groups |c by Alejandro Adem, R. James Milgram |
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| 500 | |a The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an in-depth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade. -Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged | ||
| 650 | 4 | |a Mathematics | |
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Datensatz im Suchindex
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| dewey-full | 514.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
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| dewey-sort | 3514.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-06280-7 |
| edition | Second Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662062807 9783642057854 |
| issn | 0072-7830 |
| language | English |
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| spelling | Adem, Alejandro Verfasser aut Cohomology of Finite Groups by Alejandro Adem, R. James Milgram Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (VIII, 324 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 309 0072-7830 The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an in-depth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade. -Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged Mathematics Group theory K-theory Algebraic topology Algebraic Topology Group Theory and Generalizations K-Theory Mathematik Kohomologie (DE-588)4031700-6 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Kohomologie (DE-588)4031700-6 s 1\p DE-604 Milgram, R. James Sonstige oth https://doi.org/10.1007/978-3-662-06280-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Adem, Alejandro Cohomology of Finite Groups Mathematics Group theory K-theory Algebraic topology Algebraic Topology Group Theory and Generalizations K-Theory Mathematik Kohomologie (DE-588)4031700-6 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4031700-6 (DE-588)4014651-0 |
| title | Cohomology of Finite Groups |
| title_auth | Cohomology of Finite Groups |
| title_exact_search | Cohomology of Finite Groups |
| title_full | Cohomology of Finite Groups by Alejandro Adem, R. James Milgram |
| title_fullStr | Cohomology of Finite Groups by Alejandro Adem, R. James Milgram |
| title_full_unstemmed | Cohomology of Finite Groups by Alejandro Adem, R. James Milgram |
| title_short | Cohomology of Finite Groups |
| title_sort | cohomology of finite groups |
| topic | Mathematics Group theory K-theory Algebraic topology Algebraic Topology Group Theory and Generalizations K-Theory Mathematik Kohomologie (DE-588)4031700-6 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Mathematics Group theory K-theory Algebraic topology Algebraic Topology Group Theory and Generalizations K-Theory Mathematik Kohomologie Endliche Gruppe |
| url | https://doi.org/10.1007/978-3-662-06280-7 |
| work_keys_str_mv | AT ademalejandro cohomologyoffinitegroups AT milgramrjames cohomologyoffinitegroups |