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

• Autores: Nicholas Kuhn
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 3, 2008, págs. 575-602
• Idioma: inglés
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• Resumen

  • 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.