Permutable subgroup of normal subgroup

From Groupprops
Revision as of 14:07, 26 March 2009 by Vipul (talk | contribs) (Created page with '{{subgroup property composition|permutable subgroup|normal subgroup}} ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a '''permutable subgr...')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: permutable subgroup and normal subgroup
View other such compositions|View all subgroup properties

Definition

Symbol-free definition

A subgroup of a group is termed a permutable subgroup of normal subgroup if it is expressible as a permutable subgroup of a normal subgroup of the whole group.

Relation with other properties

Stronger properties

Weaker properties