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arXiv · 2403.17096

Fibers of the square map in some finite groups of Lie type and an application

Saikat Panja
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Abstract

Let $G$ be one of the finite general linear, unitary, symplectic or orthogonal groups over finite fields of odd order. We find the cardinality of the fibers of the square map at a given generic element. Using this we find the number of real conjugacy classes of $G$. This is primarily achieved by leveraging a recent solution to Brauer's problem 14.

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Saikat Panja. 2024-03-25. Fibers of the square map in some finite groups of Lie type and an application. https://arxiv.org/abs/2403.17096

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