Permuting subgroups: Difference between revisions

Revision as of 23:00, 20 September 2007

This article defines a symmetric relation on the collection of subgroups inside the same group.

Two subgroups $H$ and $K$ of a group $G$ are termed permuting subgroups if the following equivalent conditions hold:

$HK=KH$
$HK$ (the product) is a subgroup
Given elements $h$ in $H$ and $k$ in $K$ , there exist elements $k'$ in $K$ and $h'$ in $H$ such that $hk=k'h'$ .

Revision as of 13:33, 2 March 2007 (view source) Vipul (talk \| contribs) No edit summary		Revision as of 23:00, 20 September 2007 (view source) Vipul (talk \| contribs) (→‎Weaker relations) Newer edit →
Line 21:		Line 21:

	===Weaker relations===		===Weaker relations===

			* [[Elliptic pair of subgroups]]