Groupprops, The Group Properties Wiki (pre-alpha)

YOUR FEEDBACK IS IMPORTANT!

Please take a short user satisfaction survey about Groupprops.

Your survey responses will be helpful in improving the site experience!

Thanks in advance!

From Groupprops

Finite-extensible implies class-preserving

Fact about	Finite-extensible automorphism +, Class-preserving automorphism +
Fact related to	Extensible automorphisms problem +
Modification dateThis property is a special property in this wiki.	30 May 2009 19:20:59  +
Page class	Fact  +
Proves property satisfaction of	Class-preserving automorphism +
Uses	Finite-extensible implies semidirectly extensible for representation over finite field of coprime characteristic +, Semidirectly extensible implies linearly pushforwardable for representation over prime field +, Linearly pushforwardable implies class-preserving for class-separating field +, Every finite group admits a sufficiently large finite prime field +, Sufficiently large implies splitting +, Splitting implies character-separating +, Character-separating implies class-separating +
Uses property satisfaction of	Finite-extensible automorphism +
Categories	Automorphism property implications

hide properties that link here

Normal-extensible not implies extensible +	Uses

 

Enter the name of the page to start browsing from.