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Essential mod‐p Cohomology Classes of p‐Groups: An Upper Bound For Nilpotency Degrees

Essential mod‐p Cohomology Classes of p‐Groups: An Upper Bound For Nilpotency Degrees 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. 1991 Mathematics Subject Classification 20J06. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Essential mod‐p Cohomology Classes of p‐Groups: An Upper Bound For Nilpotency Degrees

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References (18)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609399006785
Publisher site
See Article on Publisher Site

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. 1991 Mathematics Subject Classification 20J06.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: May 1, 2000

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