GL$(2, q)$ 的完全还原循环子群的共轭类

arXiv - MATH - Group Theory Pub Date : 2024-09-11 DOI:arxiv-2409.07244

Prashun Kumar, Geetha Venkataraman

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摘要

让 $m$ 为正整数，使得 $p$ 不除 $m$，其中 $p$ 为质数。在本文中，我们将找出阶为 $m$（其中 $q$ 是 $p$ 的幂次）的 GL$(2,q)$中完全可简化循环子群的共轭类的数目。

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Conjugacy classes of completely reducible cyclic subgroups of GL$(2, q)$

Let $m$ be a positive integer such that $p$ does not divide $m$ where $p$ is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups in GL$(2, q)$ of order $m$, where $q$ is a power of $p$.

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arXiv - MATH - Group Theory

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