Groups with conjugacy classes of coprime sizes

Bulletin of the London Mathematical Society 2026 Open access

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Authors: R. D. Camina, A. Maróti, Emanuele Pacifici, Christopher W. Parker, K. Rekvényi, J. Saunders, V. Sotomayor, Gareth Tracey, Martin van Beek
DOI: 10.1112/blms.70320
Cited by: 1
References: 29

Abstract

Abstract Suppose that , are elements of a finite group lying in conjugacy classes of coprime sizes. We prove that is an abelian normal subgroup of and, as a consequence, that if and are ‐regular elements for some set of primes , then is a ‐regular conjugacy class in . The latter statement was previously known for ‐separable groups and this generalisation permits us to extend several results concerning the common divisor graph on ‐regular conjugacy classes, for some prime .

Fields of Study & Subjects

Finite Group Theory Research Rings Modules and Algebras Limits and Structures in Graph Theory

Publication details

Journal / source
Bulletin of the London Mathematical Society
Publisher
Wiley
Volume
58
Issue
3
Publication date
25 February 2026
Language
EN