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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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Volume 12, Issue 3


On some classes of finite quasi--groups

Wenbin Guo / Alexander N. Skiba
  • Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus. E-mail:
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Published Online: 2008-11-06 | DOI: https://doi.org/10.1515/JGT.2008.086


Let G be a finite group and a class of finite groups. We say that G is a quasi-ℱ-group if for every -eccentric chief factor H/K of G and every xG, x induces an inner automorphism on H/K. In this paper, the general theory of quasi--groups is given and some of its applications are considered. In particular, some characterizations of quasisoluble groups and quasisupersoluble groups are obtained.

About the article

Received: 2008-05-21

Revised: 2008-08-01

Published Online: 2008-11-06

Published in Print: 2009-05-01

Citation Information: Journal of Group Theory, Volume 12, Issue 3, Pages 407–417, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.086.

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