Quotient-pullbackable automorphism: Difference between revisions

Latest revision as of 13:23, 22 September 2009

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quotient-pullbackable equals inner: A proof that every quotient-pullbackable automorphism of a group is an inner automorphism. An automorphism $σ$ of a group $G$ is termed a quoitent-pullbackable automorphism if for every group $K$ and surjective homomorphism $ρ : K \to G$ there exists an automorphism $σ^{'}$ of $K$ such that $ρ \circ σ^{'} = σ \circ ρ$ .
group property-conditionally quotient-pullbackable automorphism: The property of being quotient-pullbackable within the collection of groups satisfying a particular property.
variety-quotient-pullbackable automorphism
extensible automorphisms problem: A discussion of this and related problems, and the current best known results.

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-#redirect [[quotient-pullbackable equals inner]]
+You might be looking for:
+* [[quotient-pullbackable equals inner]]: A proof that every quotient-pullbackable automorphism of a group is an [[inner automorphism]]. An automorphism <math>\sigma</math> of a group <math>G</math> is termed a quoitent-pullbackable automorphism if for every group <math>K</math> and surjective homomorphism <math>\rho:K \to G</math> there exists an automorphism <math>\sigma'</math> of <math>K</math> such that <math>\rho \circ \sigma' = \sigma \circ \rho</math>.
+* [[group property-conditionally quotient-pullbackable automorphism]]: The property of being quotient-pullbackable within the collection of groups satisfying a particular property.
+* [[variety-quotient-pullbackable automorphism]]
+* [[extensible automorphisms problem]]: A discussion of this and related problems, and the current best known results.