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arxiv: 1209.3345 · v1 · pith:BRRMEY6Wnew · submitted 2012-09-15 · 🧮 math.GR · math.CO

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

classification 🧮 math.GR math.CO
keywords groupsclassesclassicalconjugacyfiniteregularresultssemisimple
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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.

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