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The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p

Published online by Cambridge University Press:  24 October 2008

Michishige Tezuka  and
Nobuaki Yagita
Michishige Tezuka
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Tokyo
Nobuaki Yagita
Affiliation:
Department of Mathematics, Musashi Institute of Technology, Tokyo
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Extract

In this paper we attempt to determine the mod p cohomology rings of the extra special p-groups for an odd prime p. Quillen has calculated the mod 2 case [8]. In our case, its structure seems to be very complicated [6]. It seems reasonable that we consider the variety defined by the cohomology ring of even degree according to Serre [11]. The main result of this paper (Theorem 5.3) gives a subalgebra of the cohomology ring such that the inclusion homomorphism induces a homeomorphism between the varieties.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 3 , November 1983 , pp. 449 - 459
Copyright
Copyright © Cambridge Philosophical Society 1983

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