✦ LIBER ✦

A note on endomorphisms of hypercentral groups

✍ Scribed by Giovanni Cutolo; Chiara Nicotera

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 95 KB
Volume: 255
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00118-7

No coin nor oath required. For personal study only.

✦ Synopsis

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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