Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)

arXiv - MATH - Group Theory Pub Date : 2024-09-13 DOI:arxiv-2409.08571

Prashun Kumar, Geetha Venkataraman

引用次数: 0

Abstract

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

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GL(2, q) 的完全还原无立方可解 p'- 子群的共轭类

让 m 是一个无立方的正整数，让 p 是一个素数，使得 p 不能整除 m。在本文中，我们要找出阶数为 m 的 GL(2, q) 中完全可还原可解的无立方子群的共轭类的数量，其中 q 是 p 的幂。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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arXiv - MATH - Group Theory

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