English

On groups with a given central factor

Group Theory 2023-08-28 v1

Abstract

We have classified, upto isoclinism, certain groups with a given central factor. As an application, we classify, upto isoclinism, groups having at the most nine element centralizers. Among other results of independent interest, we have classified, upto isoclinism, groups having a central factor of order p3p^3, pp a prime. All these improves some previous results.

Keywords

Cite

@article{arxiv.2308.13391,
  title  = {On groups with a given central factor},
  author = {Sekhar Jyoti Baishya},
  journal= {arXiv preprint arXiv:2308.13391},
  year   = {2023}
}
R2 v1 2026-06-28T12:04:20.239Z