Let H be a subnormal subgroup of a hypercentral group G. We prove that endomorphisms of G are uniquely determined by their restrictions to H if and only if Hom(G/HG,G)=0, and draw some consequences from this fact.

A note on endomorphisms of hypercentral groups

CUTOLO, GIOVANNI;
2002

Abstract

Let H be a subnormal subgroup of a hypercentral group G. We prove that endomorphisms of G are uniquely determined by their restrictions to H if and only if Hom(G/HG,G)=0, and draw some consequences from this fact.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/360
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