Groups in which every non-cyclic subgroup contains its centralizer
Group Theory
2014-01-28 v1
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 -groups and finite simple groups with the above defined property.
Cite
@article{arxiv.1305.4236,
title = {Groups in which every non-cyclic subgroup contains its centralizer},
author = {Costantino Delizia and Urban Jezernik and Primož Moravec and Chiara Nicotera},
journal= {arXiv preprint arXiv:1305.4236},
year = {2014}
}
Comments
10 pages