Giovanni Cutolo: papers

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13: G. Cutolo and C. Nicotera
A note on endomorphisms of hypercentral groups
J. Algebra, 255, (2002), pp. 164–173.
doi: 10.1016/s0021-8693(02)00118-7
MathSciNet Zentralblatt Comments Abstract Full Text

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 $\Hom(G/H^G,G)=0$, and draw some consequences from this fact.

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