Class numbers and nilpotent subgroups of PGL(2,q)
Abstract
We show that for certain odd prime powers q, the number of conjugacy classes of PGL(2,q) is greater than the order of its largest nilpotent subgroup. This answers negatively a question of Liebeck and Pyber.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.