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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.