English

Groups in which every non-abelian subgroup is self-centralizing

Group Theory 2016-06-07 v2

Abstract

We study groups having the property that every non-abelian subgroup contains its centralizer. We describe various classes of infinite groups in this class, and address a problem of Berkovich regarding the classification of finite pp-groups with the above property.

Keywords

Cite

@article{arxiv.1510.06545,
  title  = {Groups in which every non-abelian subgroup is self-centralizing},
  author = {Costantino Delizia and Heiko Dietrich and Primoz Moravec and Chiara Nicotera},
  journal= {arXiv preprint arXiv:1510.06545},
  year   = {2016}
}

Comments

Referee's comments incorporated

R2 v1 2026-06-22T11:26:24.152Z