Complemented transitively normal subgroup

From Groupprops
Revision as of 21:53, 25 May 2009 by Vipul (talk | contribs) (Created page with '{{wikilocal}} {{subgroup property conjunction|permutably complemented subgroup|transitively normal subgroup}} ==Definition== ===Symbol-free definition=== A subgroup of a [...')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: permutably complemented subgroup and transitively normal subgroup
View other subgroup property conjunctions | view all subgroup properties


Symbol-free definition

A subgroup of a group is termed a complemented transitively normal subgroup if it satisfies the following equivalent conditions:

Relation with other properties

Stronger properties

Weaker properties