On central endomorphisms of a group (original) (raw)

International Journal of Group Theory

Abstract

Let G be a normal subgroup of the full automorphism group Aut(G) of a group G, and assume that Inn(G) £ G. An endomorphism s of G is said to be G-central if s induces the the identity on the factor group G/CG(G). Clearly, if G = Inn(G), then a G-central endomorphism is a central endomorphism. In this article the conditions under which a G-central endomorphism of a group is an automorphism are investigated.

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