Relatively normal subgroup: Difference between revisions

Latest revision as of 18:19, 11 February 2009

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This article describes a property that can be evaluated for a triple of a group, a subgroup of the group, and a subgroup of that subgroup.
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Definition

Suppose $H \leq K \leq G$ are groups. We say that $H$ is relatively normal in $K$ with respect to $G$ if $H$ is a normal subgroup of $K$ .

Relation with other properties

Stronger properties

Revision as of 18:19, 11 February 2009 (view source) Vipul (talk \| contribs) (New page: {{subofsubgroup property}} ==Definition== Suppose <math>H \le K \le G</math> are groups. We say that <math>H</math> is '''relatively normal''' in <math>K</math> with respect to <math...)		Latest revision as of 18:19, 11 February 2009 (view source) Vipul (talk \| contribs) No edit summary
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