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

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{{automorphism property implication}}
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{{automorphism property implication|
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stronger = finite-extensible automorphism|
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weaker = class-preserving automorphism}}
  
 
==Statement==
 
==Statement==

Revision as of 20:26, 9 August 2008

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

Statement

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

Facts used