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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Semidirect products of $ I$-$ E$ groups


Authors: Carter G. Lyons and Gary L. Peterson
Journal: Proc. Amer. Math. Soc. 123 (1995), 2353-2356
MSC: Primary 16Y30; Secondary 20E36
MathSciNet review: 1249885
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1249885-8
PII: S 0002-9939(1995)1249885-8
Keywords: Endomorphism near-ring, I-E group
Article copyright: © Copyright 1995 American Mathematical Society