Classification of groups whose common divisor graph on $p$-regular classes has no triangles
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.02818
- arXiv:
- arXiv:2408.02818
- Bibcode:
- 2024arXiv240802818J
- Keywords:
-
- Mathematics - Group Theory;
- 20E45;
- 20D20