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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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CiteScore 2018: 0.53

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Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Volume 16, Issue 2


A characterization of hypercyclically embedded subgroups using cover-avoidance property

Ning Su / Yanming Wang / Yangming Li
Published Online: 2013-03-01 | DOI: https://doi.org/10.1515/jgt-2012-0041


A normal subgroup K of a finite group G is said to be hypercyclically embedded in G if every chief factor of G below K is cyclic. A subgroup H has the cover-avoidance property in G if H either covers or avoids every chief factor of G. In this paper we connect these two concepts and give a new characterization of normal hypercyclically embedded subgroups. Our main result is that a normal subgroup K is hypercyclically embedded in G if and only if the members of a certain class of subgroups of K have the cover-avoidance property in G.

About the article

Received: 2012-02-08

Revised: 2012-09-25

Published Online: 2013-03-01

Published in Print: 2013-03-01

Citation Information: Journal of Group Theory, Volume 16, Issue 2, Pages 263–274, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0041.

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Citing Articles

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