Difference between revisions of "Finite-extensible implies class-preserving"

From Groupprops
Jump to: navigation, search
Line 2: Line 2:
stronger = finite-extensible automorphism|
stronger = finite-extensible automorphism|
weaker = class-preserving automorphism}}
weaker = class-preserving automorphism}}
{{factrelatedto|Extensible automorphisms problem}}

Revision as of 20:00, 3 April 2009

This article gives the statement and possibly, proof, of an implication relation between two automorphism properties. That is, it states that every automorphism satisfying the first automorphism property (i.e., finite-extensible automorphism) must also satisfy the second automorphism property (i.e., class-preserving automorphism)
View all automorphism property implications | View all automorphism property non-implications
Get more facts about finite-extensible automorphism|Get more facts about class-preserving automorphism
This fact is related to: Extensible automorphisms problem
View other facts related to Extensible automorphisms problemView terms related to Extensible automorphisms problem |


Any finite-extensible automorphism of a finite group is class-preserving automorphism.

Facts used