Imperfect group

id: imperfect-group-201-6070326
title: Imperfect group
text: In mathematics, in the area of algebra known as group theory, an imperfect group is a group with no nontrivial perfect quotients. Some of their basic properties were established in (Berrick & Robinson 1993). The study of imperfect groups apparently began in (Robinson 1972). The class of imperfect groups is closed under extension and quotient groups, but not under subgroups. If G is a group, N, M are normal subgroups with G/N and G/M imperfect, then G/(N∩M) is imperfect, showing that the class of
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Imperfect_group
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date modified: 2023-08-18T08:20:38Z
main entity: {"identifier":"Q6006292","url":"https://www.wikidata.org/entity/Q6006292"}
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fields total: 13
integrity: 13

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