Open AccessEssential cohomology of finite groups
Author(s) -
Alejandro Ádem,
Dikran Karagueuzian
Publication year - 1997
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.1007/pl00000361
Subject(s) - mathematics , cohomology , pure mathematics , étale cohomology , group cohomology , algebra over a field
. In this paper we prove that a finite group G with Cohen-Macaulay mod p cohomology will have non-trivial undetectable elements in $H^*(G,{\Bbb F}_p)$ if and only if G is a p-group such that every element of order p in G is central. Applications and examples are also provided.
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