$p$-Power conjugacy classes in $U(n,q)$ and $T(n,q)$
Group Theory
2020-09-02 v1
Abstract
Let be a -power where is a fixed prime. In this paper, we look at the -power maps on unitriangular group and triangular group . In the spirit of Borel dominance theorem for algebraic groups, we show that the image of this map contains large size conjugacy classes. For the triangular group we give a recursive formula to count the image size.
Keywords
Cite
@article{arxiv.1905.04244,
title = {$p$-Power conjugacy classes in $U(n,q)$ and $T(n,q)$},
author = {Silvio Dolfi and Anupam Singh and Manoj K. Yadav},
journal= {arXiv preprint arXiv:1905.04244},
year = {2020}
}