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The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups
Published online by Cambridge University Press: 01 May 2008
Abstract
We study H*(P), the mod p cohomology of a finite p-group P, viewed as an –module. In particular, we study the conjecture, first considered by Martino and Priddy, that, if e ∈ is a nonzero idempotent, then the Krull dimension of eH*(P) equals the rank of P. We prove this for all p-groups when p is odd, and for many 2–groups.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 3 , May 2008 , pp. 575 - 602
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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