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

Minh Pham Anh | Zendy

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

Author(s) -

Minh Pham Anh

Publication year - 2000

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609399006785

Subject(s) - mathematics , cohomology , prime (order theory) , nilpotent group , nilpotent , mod , abelian group , group cohomology , upper and lower bounds , combinatorics , discrete mathematics , pure mathematics , mathematical analysis

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 ξ p = 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.

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