Locally finite groups in which every non-cyclic subgroup is self-centralizing

Costantino Delizia; Urban Jezernik; Primoz Moravec; Chiara Nicotera; Chris Parker

Locally finite groups in which every non-cyclic subgroup is self-centralizing

Group Theory 2016-06-07 v1

Authors: Costantino Delizia , Urban Jezernik , Primoz Moravec , Chiara Nicotera , Chris Parker

Abstract

Locally finite groups having the property that every non-cyclic subgroup contains its centralizer are completely classified.

Keywords

finite group theory topological groups group theory

Cite

@article{arxiv.1606.01669,
  title  = {Locally finite groups in which every non-cyclic subgroup is self-centralizing},
  author = {Costantino Delizia and Urban Jezernik and Primoz Moravec and Chiara Nicotera and Chris Parker},
  journal= {arXiv preprint arXiv:1606.01669},
  year   = {2016}
}