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arXiv · 1308.5701

On the distribution of the density of maximal order elements in general linear groups

Stefanos Aivazidis·Efthymios Sofos
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Abstract

In this paper we consider the density of maximal order elements in $\mathrm{GL}_n(q)$. Fixing any of the rank $n$ of the group, the characteristic $p$ or the degree $r$ of the extension of the underlying field $\mathbb{F}_q$ of size $q=p^r$, we compute the expected value of the said density and establish that it follows a distribution law.

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Stefanos Aivazidis, Efthymios Sofos. 2014-04-19. On the distribution of the density of maximal order elements in general linear groups. https://doi.org/10.1007/s11139-014-9619-y

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