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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

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

IMPACT FACTOR 2018: 0.470
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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 1


On θ̂-pairs for maximal subgroups of a finite group

Xiaoyu Chen / Wenbin Guo
Published Online: 2013-01-03 | DOI: https://doi.org/10.1515/jgt-2012-0036


For a maximal subgroup M of a finite group G, a θ̂-pair for M is any pair of subgroups (C,D) of G such that (i) , , (ii) , , (iii) no non-trivial proper subgroup of is normal in and (iv) either or there exists a subgroup E of G such that C is a maximal subgroup of E and is not contained in M. By using this notion, we exhibit some new characterizations on the structure of finite groups.

About the article

Received: 2012-07-06

Revised: 2012-09-20

Published Online: 2013-01-03

Published in Print: 2013-01-01

Citation Information: Journal of Group Theory, Volume 16, Issue 1, Pages 51–68, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0036.

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