Cohomology Rings of Finite Groups: With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
|
| Schriftenreihe: | Algebras and Applications
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature |
| Beschreibung: | 1 Online-Ressource (XVI, 776 p) |
| ISBN: | 9789401702157 9789048163854 |
| ISSN: | 1572-5553 |
| DOI: | 10.1007/978-94-017-0215-7 |
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| 245 | 1 | 0 | |a Cohomology Rings of Finite Groups |b With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 |c by Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang |
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Datensatz im Suchindex
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| author | Carlson, Jon F. |
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| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
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| isbn | 9789401702157 9789048163854 |
| issn | 1572-5553 |
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| spelling | Carlson, Jon F. Verfasser aut Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 by Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang Dordrecht Springer Netherlands 2003 1 Online-Ressource (XVI, 776 p) txt rdacontent c rdamedia cr rdacarrier Algebras and Applications 3 1572-5553 Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature Mathematics Electronic data processing Algebra Geometry Algebraic topology Category Theory, Homological Algebra Commutative Rings and Algebras Numeric Computing Algebraic Topology Datenverarbeitung Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraischer Ring (DE-588)4141855-4 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Algebraischer Ring (DE-588)4141855-4 s Algebraische Topologie (DE-588)4120861-4 s 1\p DE-604 Townsley, Lisa Sonstige oth Valeri-Elizondo, Luis Sonstige oth Zhang, Mucheng Sonstige oth https://doi.org/10.1007/978-94-017-0215-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carlson, Jon F. Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 Mathematics Electronic data processing Algebra Geometry Algebraic topology Category Theory, Homological Algebra Commutative Rings and Algebras Numeric Computing Algebraic Topology Datenverarbeitung Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Algebraischer Ring (DE-588)4141855-4 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4141855-4 (DE-588)4014651-0 |
| title | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 |
| title_auth | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 |
| title_exact_search | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 |
| title_full | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 by Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang |
| title_fullStr | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 by Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang |
| title_full_unstemmed | Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 by Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang |
| title_short | Cohomology Rings of Finite Groups |
| title_sort | cohomology rings of finite groups with an appendix calculations of cohomology rings of groups of order dividing 64 |
| title_sub | With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 |
| topic | Mathematics Electronic data processing Algebra Geometry Algebraic topology Category Theory, Homological Algebra Commutative Rings and Algebras Numeric Computing Algebraic Topology Datenverarbeitung Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Algebraischer Ring (DE-588)4141855-4 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Mathematics Electronic data processing Algebra Geometry Algebraic topology Category Theory, Homological Algebra Commutative Rings and Algebras Numeric Computing Algebraic Topology Datenverarbeitung Mathematik Algebraische Topologie Algebraischer Ring Endliche Gruppe |
| url | https://doi.org/10.1007/978-94-017-0215-7 |
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