Pushforwardable automorphism: Difference between revisions

Latest revision as of 13:28, 22 September 2009

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pushforwardable equals inner: Any pushforwardable automorphism is an inner automorphism. An automorphism $σ$ of a group $G$ is termed pushforwardable if, for any homomorphism $ρ : G \to H$ , there exists an automorphism $σ^{'}$ of $H$ such that $ρ \circ σ = σ^{'} \circ ρ$ .
group property-conditionally pushforwardable automorphism
variety-pushforwardable automorphism
extensible automorphisms problem discusses this and related notions.

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-#redirect [[pushforwardable equals inner]]
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+* [[pushforwardable equals inner]]: Any pushforwardable automorphism is an [[inner automorphism]]. An automorphism <math>\sigma</math> of a group <math>G</math> is termed pushforwardable if, for any homomorphism <math>\rho:G \to H</math>, there exists an automorphism <math>\sigma'</math> of <math>H</math> such that <math>\rho \circ \sigma = \sigma' \circ \rho</math>.
+* [[group property-conditionally pushforwardable automorphism]]
+* [[variety-pushforwardable automorphism]]
+* [[extensible automorphisms problem]] discusses this and related notions.