Centerless and maximal in automorphism group implies every automorphism is normal-extensible
From Groupprops
This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., centerless group that is maximal in its automorphism group) must also satisfy the second group property (i.e., group in which every automorphism is normal-extensible)
View all group property implications | View all group property non-implications |Get help on looking up group property implications/non-implications
Get more facts about centerless group that is maximal in its automorphism group| Get more facts about group in which every automorphism is normal-extensible
Statement
Verbal statement
If a centerless group is a maximal subgroup in its automorphism group, then every automorphism of the group is normal-extensible.
Facts about Centerless and maximal in automorphism group implies every automorphism is normal-extensibleRDF feed
