paper

Class numbers and nilpotent subgroups of

arXiv:2606.21404

Abstract

We show that for certain odd prime powers , the number of conjugacy classes of is greater than the order of its largest nilpotent subgroup. This answers negatively a question of Liebeck and Pyber.

3 pages, comments welcome

Class numbers and nilpotent subgroups of $\mathrm{PGL}(2,q)$ · wovepaper