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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 16, Issue 2


The structure of non-nilpotent CTI-groups

Hamid Mousavi / Tahereh Rastgoo / Viktor Zenkov
  • Institute of Mathematics and Mechanics of Ural Branch RAS, S. Kovalevskaya 16, Ekaterinburg 620990, Russia; and Ural Federal University, Energy Institute, Mira 19, Ekaterinburg 620290, Russia
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Published Online: 2013-03-01 | DOI: https://doi.org/10.1515/jgt-2012-0037


A subgroup H of a group G is called a TI-subgroup if , for all , and a group is called a CTI-group if all of its cyclic subgroups are TI-subgroups. In this paper, we determine the structure of non-nilpotent CTI-groups. Also we will show that if G is a nilpotent CTI-group, then G is either a Hamiltonian group or a non-abelian p-group.

About the article

Received: 2012-06-07

Revised: 2012-09-11

Published Online: 2013-03-01

Published in Print: 2013-03-01

Citation Information: Journal of Group Theory, Volume 16, Issue 2, Pages 249–261, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0037.

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