Subnormal-permutable subgroup: Difference between revisions
(New page: {{wikilocal}} {{subgroup property}} ==Definition== ===Symbol-free definition=== A subgroup of a group is termed '''subnormal-permutable''' if it [[defining ingredient::permuting...) |
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===Stronger properties=== | ===Stronger properties=== | ||
* [[Weaker than::Subgroup contained in the Wielandt subgroup]] | |||
* [[Weaker than::Subnormal-permutable subnormal subgroup]] | |||
* [[Weaker than::Normal subgroup]] | |||
* [[Weaker than::Permutable subgroup]] | * [[Weaker than::Permutable subgroup]] | ||
* [[Weaker than::Perfect subnormal subgroup]] | |||
Latest revision as of 15:35, 5 January 2009
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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
Definition
Symbol-free definition
A subgroup of a group is termed subnormal-permutable if it permutes with every subnormal subgroup of the group.