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Malnormal subgroup

In group theory, a subgroup H {\displaystyle H} of a group G {\displaystyle G} is termed malnormal if for any group element x {\displaystyle x} not in H {\displaystyle H} , H {\displaystyle H} and x H x − 1 {\displaystyle xHx^{-1}} intersect only in the identity element.

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Malnormal subgroup

Nodes12
Edges11
Triples1
Avg. degree1.83
Density0.166667
Components1

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Malnormal subgroup

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is a · 1
Malnormal subgroup → special type of C-group called a trivial intersection subgroup

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Important terminology

subgroup malnormal displaystyle called group element malnormality intersection subgroups trivial normal frobenius intersect transitive c-group finite theory termed xhx -1

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SubjectPredicateObjectConfidenceSrc
Malnormal subgroupis aspecial type of C-group called a trivial intersection subgroup0.90text

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