Upper bounds on the number of conjugacy classes in unitriangular groups
Group Theory
2015-04-01 v2
Abstract
We provide a new upper bound on the number of conjugacy classes in the group of unitriangular matrices over a finite field. We also compute a similar upper bound for every group in the lower central series of .
Cite
@article{arxiv.1411.5389,
title = {Upper bounds on the number of conjugacy classes in unitriangular groups},
author = {Andrew Soffer},
journal= {arXiv preprint arXiv:1411.5389},
year = {2015}
}
Comments
26 pages; v2 -- Major rewrite, including improved upper bounds and expanded exposition