The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups

Author:

KUHN NICHOLAS J.

Abstract

AbstractWe study H*(P), the mod p cohomology of a finite p-group P, viewed as an $\F_p[Out(P)]$–module. In particular, we study the conjecture, first considered by Martino and Priddy, that, if e$\F_p[Out(P)]$ 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Lie module and its complexity;Bulletin of the London Mathematical Society;2015-10-26

2. Nilpotence in group cohomology;Proceedings of the Edinburgh Mathematical Society;2012-12-05

3. Equivariant Hilbert series;Algebra & Number Theory;2009-06-15

4. Primitives and central detection numbers in group cohomology;Advances in Mathematics;2007-12

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