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arXiv · 1411.5389

Upper bounds on the number of conjugacy classes in unitriangular groups

Andrew Soffer
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Abstract

We provide a new upper bound on the number of conjugacy classes in the group $U_n(q)$ of unitriangular matrices over a finite field. We also compute a similar upper bound for every group in the lower central series of $U_n(q)$.

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Andrew Soffer. 2015-03-30. Upper bounds on the number of conjugacy classes in unitriangular groups. https://arxiv.org/abs/1411.5389

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