Roots of identity in finite groups of Lie type
Group Theory
2024-05-29 v2 Combinatorics
Abstract
Given an integer , we deploy the generating function techniques to compute the number of -th roots of identity in some of the well-known finite groups of Lie type, more precisely for finite general linear groups, symplectic groups, orthogonal groups of all types and unitary groups over finite fields of odd characteristics.
Keywords
Cite
@article{arxiv.2401.00202,
title = {Roots of identity in finite groups of Lie type},
author = {Saikat Panja},
journal= {arXiv preprint arXiv:2401.00202},
year = {2024}
}
Comments
Revised version; Suggestions are welcome;