Finite groups in which almost all class sizes are prime numbers

2025/10/27 by Monetta, Carmine, Sotomayor, Víctor
#20D10 #20D15 #20D20 #20E45 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2510.23841

Abstract

In this paper we study arithmetical and structural features of a finite group that possesses exactly two conjugacy class sizes that are composite numbers.

Citations

• Groups with conjugacy classes of coprime sizes
• The influence of conjugacy class sizes on the structure of finite groups: a survey

Related

• Finite groups whose real classes have prime-power size
• The influence of conjugacy class sizes on the structure of finite groups: a survey
• Finite groups and the class-size prime graph revisited
• Real class sizes
• A lower bound for the number of conjugacy classes of a finite group