Semidirect products of 𝐼-𝐸 groups-Reference-Cited by-同舟云学术

Semidirect products of 𝐼-𝐸 groups

Published:1995 Issue:8 Volume:123 Page:2353-2356
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lyons Carter G.,Peterson Gary L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-08/S0002-9939-1995-1249885-8/S0002-9939-1995-1249885-8.pdf

Reference7 articles.

1. The near-ring generated by the inner automorphisms of a finite simple group;Fröhlich, A.;J. London Math. Soc.,1958

2. Finite dihedral groups and d.g. near rings. I;Malone, J. J.;Compositio Math.,1972

3. Finite dihedral groups and d.g. near rings. II;Malone, J. J.;Compositio Math.,1973

4. 𝑍𝑆-metacylic groups and their endomorphism near-rings;Malone, J. J.;Monatsh. Math.,1994

5. On the structure of morphism near-rings;Meldrum, J. D. P.;Proc. Roy. Soc. Edinburgh Sect. A,1978

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Design of an infrared dual-band search and tracking system operating in widen temperature range;Acta Physica Sinica;2013

2. Hyper-spectral imaging system with harmonic diffraction element in medium and far infrared;Acta Physica Sinica;2010