The number of regular semisimple conjugacy classes in the finite classical groups

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Abstract

Using generating functions, we enumerate regular semisimple conjugacy classes in the finite classical groups. For the general linear, unitary, and symplectic groups this gives a different approach to known results; for the special orthogonal groups the results are new. © 2013 Elsevier Inc. All rights reserved.

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Fulman, J., & Guralnick, R. (2013). The number of regular semisimple conjugacy classes in the finite classical groups. Linear Algebra and Its Applications, 439(2), 488–503. https://doi.org/10.1016/j.laa.2013.03.031

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