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GLUING pPERMUTATION MODULES
"... to a family of ppermutation modules for kNG(Q)/Q, where Q runs over the nontrivial psubgroups of G, together with certain isomorphisms. Conversely, the data of a compatible family of kNG(Q)/Qmodules comes from a ..."
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to a family of ppermutation modules for kNG(Q)/Q, where Q runs over the nontrivial psubgroups of G, together with certain isomorphisms. Conversely, the data of a compatible family of kNG(Q)/Qmodules comes from a
ON GROUPS ACTING ON CONTRACTIBLE SPACES WITH STABILIZERS OF PRIME POWER ORDER
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"... Abstract. Let F denote the class of finite groups, and let P denote the subclass consisting of groups of prime power order. We study group actions on topological spaces in which either (1) all stabilizers lie in P or (2) all stabilizers lie in F. We compare the classifying spaces for actions with st ..."
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Abstract. Let F denote the class of finite groups, and let P denote the subclass consisting of groups of prime power order. We study group actions on topological spaces in which either (1) all stabilizers lie in P or (2) all stabilizers lie in F. We compare the classifying spaces for actions with stabilizers in F and P, the Kropholler hierarchies built on F and P, and group cohomology relative to F and to P. In terms of standard notations, we show that F ⊂ H1P ⊂ H1F, with all inclusions proper; that HF = HP; that FH ∗ (G; −) = PH ∗ (G; −); and that EPG is finitedimensional if and only if EFG is finitedimensional and every finite subgroup of G is in P. 1.