Regular and p-Regular Orbits of Solvable Linear Groups, II

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s100538672300024x

Thomas Michael Keller, Yong Yang

引用次数: 0

Abstract

Let [Formula: see text] be a faithful [Formula: see text]-module for a finite group [Formula: see text] and let[Formula: see text] be a prime dividing [Formula: see text]. An orbit [Formula: see text] for the action of [Formula: see text] on[Formula: see text] is regular if [Formula: see text], and is [Formula: see text]-regular if [Formula: see text]. In this note, we study two questions, one by the authors and one by Isaacs, related to the [Formula: see text]-regular orbits and regular orbits of the linear group actions.

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可解线性群的正则轨道和p正则轨道，2

设[公式:见文]为一个有限群的忠实[公式:见文]-模[公式:见文]，设[公式:见文]为一个素数除[公式:见文]。[公式:见文]作用于[公式:见文]的轨道[公式:见文]是正则的[公式:见文]，是[公式:见文]-正则的[公式:见文]。在这篇笔记中，我们研究了两个问题，一个是作者提出的，另一个是艾萨克斯提出的，它们与线性群作用的正则轨道和正则轨道有关。

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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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.