Cosocle

id: cosocle-261-11256849
title: Cosocle
text: In mathematics, the term cosocle (socle meaning pedestal in French) has several related meanings. In group theory, a cosocle of a group G, denoted by Cosoc(G), is the intersection of all maximal normal subgroups of G. If G is a quasisimple group, then Cosoc(G) = Z(G). In the context of Lie algebras, a cosocle of a symmetric Lie algebra is the eigenspace of its structural automorphism that corresponds to the eigenvalue +1. (A symmetric Lie algebra decomposes into the direct sum of its socle and c
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Cosocle
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date modified: 2023-08-12T18:56:18Z
main entity: {"identifier":"Q5174667","url":"https://www.wikidata.org/entity/Q5174667"}
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