Absolutely simple group

id: absolutely-simple-group-265-3261010
title: Absolutely simple group
text: In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups. That is, G is an absolutely simple group if the only serial subgroups of G are { e } , and G itself. In the finite case, a group is absolutely simple if and only if it is simple. However, in the infinite case, absolutely simple is a stronger property than simple. The property of being strictly simple is somewhere in between.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Absolutely_simple_group
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date modified: 2023-08-12T23:27:23Z
main entity: {"identifier":"Q4669869","url":"https://www.wikidata.org/entity/Q4669869"}
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