Demushkin group
id:
demushkin-group-283-14641774
title:
Demushkin group
text:
In mathematical group theory, a Demushkin group is a pro-p group G having a certain properties relating to duality in group cohomology. More precisely, G must be such that the first cohomology group with coefficients in Fp = Z/p Z has finite rank, the second cohomology group has rank 1, and the cup product induces a non-degenerate pairing Such groups were introduced by Demuškin (1959). Demushkin groups occur as the Galois groups of the maximal p-extensions of local number fields containing all p
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Demushkin_group
date created:
date modified:
2023-11-08T08:58:42Z
main entity:
{"identifier":"Q5256432","url":"https://www.wikidata.org/entity/Q5256432"}
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