On Central Endomorphisms of a Group with Operators

Abstract

Let G be a group with a set Ω of operators such that Z(G) is Ω-admissible. Central Ω-automorphisms occur in the Krull-Remak-Schmidt Theorem. We discuss the existence of a central Ω-endomorphism of G that is not an automorphism.

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Correspondence to Morton E. Harris.

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2000 Mathematics Subject Classification: 20E36

Communicated by Jiping Zhang

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Harris, M.E. On Central Endomorphisms of a Group with Operators. Algebra Colloq. 10, 9–10 (2003). https://doi.org/10.1007/s100110300001

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Keywords:

  • central endomorphism of a group
  • group with operators