Roots of identity in finite groups of Lie type

Saikat Panja

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arXiv · 2401.00202

Roots of identity in finite groups of Lie type

Saikat Panja

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Abstract

Given an integer $M\geq 2$, 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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Saikat Panja. 2023-12-30. Roots of identity in finite groups of Lie type. https://arxiv.org/abs/2401.00202

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