Control of fusion and cohomology of trivial source modules
| Autor: | Akihiko Hida |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Sheaf cohomology
Discrete mathematics Pure mathematics Mackey functor Algebra and Number Theory Galois cohomology Group cohomology Étale cohomology Cohomology of finite groups p-Fusion Mathematics::Algebraic Topology Cohomology Motivic cohomology Mathematics::K-Theory and Homology Trivial source modules Ext functor Equivariant cohomology Mathematics |
| Zdroj: | Journal of Algebra. 317:462-470 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2007.08.008 |
| Popis: | Let G be a finite group and H a subgroup. We give an algebraic proof of Mislin's theorem which states that the restriction map from G to H on mod-p cohomology is an isomorphism if and only if H controls p-fusion in G. We follow the approach of P. Symonds [P. Symonds, Mackey functors and control of fusion, Bull. London Math. Soc. 36 (2004) 623–632] and consider the cohomology of trivial source modules. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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