Roots of identity in finite groups of Lie type

2023/12/30 by Saikat Panja, Panja, Saikat · 1 citation
Computer Science · Mathematics · #20D06 #20G40 #Advanced Algebra and Geometry #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2401.00202

openalex publication_date 2023/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an integer M≥ 2, we deploy the generating function techniques to compute the number of M-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.

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• Power maps on General Linear groups over finite principal ideal local rings of length two

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