Characteristically simple group

id: characteristically-simple-group-271-2688025
title: Characteristically simple group
text: In mathematics, in the field of group theory, a group is said to be characteristically simple if it has no proper nontrivial characteristic subgroups. Characteristically simple groups are sometimes also termed elementary groups. Characteristically simple is a weaker condition than being a simple group, as simple groups must not have any proper nontrivial normal subgroups, which include characteristic subgroups. A finite group is characteristically simple if and only if it is a direct product of
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original url: https://en.wikipedia.org/wiki/Characteristically_simple_group
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date modified: 2024-02-05T12:24:56Z
main entity: {"identifier":"Q3117616","url":"https://www.wikidata.org/entity/Q3117616"}
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