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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Semidirect products of $I$-$E$ groups
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by Carter G. Lyons and Gary L. Peterson
Proc. Amer. Math. Soc. 123 (1995), 2353-2356
DOI: https://doi.org/10.1090/S0002-9939-1995-1249885-8

Abstract:

An I-E group is a group G in which the endomorphism near-ring generated by the inner automorphisms of G equals the endomorphism near-ring generated by the endomorphisms of G. In this paper we obtain a result characterizing when a semidirect product of I-E groups of relatively prime orders is an I-E group. We then use this result to show that a semidirect product of cyclic groups of relatively prime orders is an I-E group.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2353-2356
  • MSC: Primary 16Y30; Secondary 20E36
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1249885-8
  • MathSciNet review: 1249885