Order-dominated subgroup

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Revision as of 20:02, 21 February 2009 by Vipul (talk | contribs) (New page: {{wikilocal}} {{subgroup property}} ==Definition== A finite subgroup <math>H</math> of a group <math>G</math> is termed '''order-dominated''' in <math>G</math> if, given any fini...)
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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

A finite subgroup H of a group G is termed order-dominated in G if, given any finite subgroup K of G such that the order of H divides the order of K, there exists g \in G such that gHg^{-1} \le K.

Relation with other properties

Stronger properties

Weaker properties