GL_n(F_p)的若干p-子群的计数公式

Q4 Mathematics

Mathematica Pub Date : 2022-12-15 DOI:10.24193/mathcluj.2022.2.13

N. Snanou

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引用次数: 0

摘要

设p是素数，F_p是p阶有限域。设GL_n（F_p）表示有限域F_p上的一般线性群，设U_n表示对角线上有1的n×n个上三角矩阵的单三角群。这是GL_n（F_p}的一个有限阶群和一个Sylow p-子群。在这项工作中，我们对给定性质刻画了GL_n的一些p-子群。

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Counting formulas for certain p-subgroups of GL_n(F_p)

Let p be a prime number and F_p a finite field of order p. Let GL_n(F_p) denote the general linear group and let U_n denote the unitriangular group of n x n upper triangular matrices with ones on the diagonal, over the finite field F_p. This is a finite group of order and a Sylow p-subgroup of GL_n(F_p}. In this work, we characterize some p-subgroups of GL_n(F_p) with respect to a given property.

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量