Displaying similar documents to “The Farrell cohomology of Sp ( p - 1 , ) .”

Stable cohomology of alternating groups

Fedor Bogomolov, Christian Böhning (2014)

Open Mathematics

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We determine the stable cohomology groups ( H S i 𝔄 n , 𝔄 n , p p of the alternating groups 𝔄 n for all integers n and i, and all odd primes p.

The p-period of an infinite group.

Xia Yining (1992)

Publicacions Matemàtiques

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For Γ a group of finite virtual cohomological dimension and a prime p, the p-period of Γ is defined to be the least positive integer d such that Farrell cohomology groups Hi(Γ; M) and Hi+d(Γ; M) have naturally isomorphic ZΓ modules M. We generalize a result of Swan on the p-period of a finite p-periodic group to a p-periodic infinite group, i.e., we prove that the p-period of a p-periodic group Γ of finite vcd...

The multiplicative structure of K(n)* (BA).

Maurizio Brunetti (1997)

Publicacions Matemàtiques

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Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA;Z/2) are also discussed.