Proper characteristic subgroup: Difference between revisions

From Groupprops
(New page: {{basicdef}} {{subgroup property conjunction|proper subgroup|characteristic subgroup}} ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a '''proper c...)
 
m (1 revision)
 
(No difference)

Latest revision as of 00:05, 8 May 2008

This article is about a basic definition in group theory. The article text may, however, contain advanced material.
VIEW: Definitions built on this | Facts about this: (facts closely related to Proper characteristic subgroup, all facts related to Proper characteristic subgroup) |Survey articles about this | Survey articles about definitions built on this
VIEW RELATED: Analogues of this | Variations of this | Opposites of this |[SHOW MORE]

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: proper subgroup and characteristic subgroup
View other subgroup property conjunctions | view all subgroup properties

Definition

Symbol-free definition

A subgroup of a group is termed a proper characteristic subgroup if it satisfies both these conditions: