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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

NICHOLAS J. KUHN
NICHOLAS J. KUHN*
Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA. e-mail: [email protected]
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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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