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; C., Nicotera. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 255:1(2002), pp. 164-173. [10.1016/S0021-8693(02)00118-7]
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.File in questo prodotto:
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