GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER-Reference-Cited by-同舟云学术

GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

Published:2014-02-25 Issue:05 Volume:13 Page:1350154
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

DELIZIA COSTANTINO¹,JEZERNIK URBAN²,MORAVEC PRIMOŽ³,NICOTERA CHIARA¹

Affiliation:

1. University of Salerno, Italy

2. Institute of Mathematics, Physics, and Mechanics, Ljubljana, Slovenia

3. University of Ljubljana, Slovenia

Abstract

We study groups having the property that every non-cyclic subgroup contains its centralizer. The structure of nilpotent and supersolvable groups in this class is described. We also classify finite p-groups and finite simple groups with the above defined property.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501545

Reference20 articles.

1. The Classification of Finite Simple Groups

2. A characterization of the subgroups of the additive rationals

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