Let p be a prime. In this paper we classify the p-structure of those finite p-separable groups such that, given any three non-central conjugacy classes of p-regular elements, two of them necessarily have coprime lengths.
@article{arxiv.2408.02818,
title = {Groups with triangle-free graphs on p-regular classes},
author = {María José Felipe and Marc Kelly Jean-Philippe and Víctor Sotomayor},
journal= {arXiv preprint arXiv:2408.02818},
year = {2025}
}