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Proceedings of the American Mathematical Society

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Rings generated by the inner-automorphisms of non-abelian groups

Author: A. John Chandy
Journal: Proc. Amer. Math. Soc. 30 (1971), 59-60
MSC: Primary 16.10; Secondary 20.00
MathSciNet review: 0280519
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Abstract: The endomorphisms of an abelian group form a ring. The characterization of groups in which endomorphisms generate a ring is still an open question. It is shown here that the inner-automorphisms of a group generate a ring if and only if the conjugate elements in the group commute.

References [Enhancements On Off] (What's this?)

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Keywords: Nilpotent groups, near-rings, inner-automorphisms
Article copyright: © Copyright 1971 American Mathematical Society

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