$p$-local finite group cohomology
Copyright policy )$p$-local finite group cohomology
We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.
Comment: 32 pages. Final version, to appear in Homology, Homotopy and Applications
- University of Aberdeen United Kingdom
- DePauw University United States
- DePaul University United States
group cohomology transfer, 20J06, Fusion system, \(p\)-local finite groups, group cohomology, p-local finite group, fusion systems, Homology of classifying spaces and characteristic classes in algebraic topology, 55R40, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Mathematics - Algebraic Topology, Cohomology of groups, transfer maps, 55R40, 20J06, 55R35, 20D20, 20D20
group cohomology transfer, 20J06, Fusion system, \(p\)-local finite groups, group cohomology, p-local finite group, fusion systems, Homology of classifying spaces and characteristic classes in algebraic topology, 55R40, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Mathematics - Algebraic Topology, Cohomology of groups, transfer maps, 55R40, 20J06, 55R35, 20D20, 20D20
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