On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups
Group Theory
2025-01-24 v1
Abstract
We construct examples of groups which have the same set of conjugacy class sizes as nilpotent groups, while their center is trivial. This answers a question posed by A. R. Camina in 2006.
Cite
@article{arxiv.2501.13362,
title = {On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups},
author = {Wei Zhou},
journal= {arXiv preprint arXiv:2501.13362},
year = {2025}
}