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ESSENTIAL mod-p COHOMOLOGY CLASSES OF p-GROUPS: AN UPPER BOUND FOR NILPOTENCY DEGREES

Published online by Cambridge University Press:  01 May 2000

PHAM ANH MINH
PHAM ANH MINH
Affiliation:
Department of Mathematics, College of Sciences, University of Hue, Dai hoc Khoa hoc, Hue, Vietnam
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Abstract

Let p be a prime number, and let G be a p-group which is not elementary abelian. For every mod-p cohomology class ξ of G which restricts trivially to all proper subgroups, we show that ξp = 0. This gives upper bounds for nilpotency degrees of such classes of G and of nilpotent mod-p cohomology classes of finite groups.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 3 , May 2000 , pp. 285 - 291
Copyright
© The London Mathematical Society 2000

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