Enumeration of conjugacy classes in affine groups

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2024-04-30 DOI:10.2140/ant.2024.18.1189

Jason Fulman, Robert M. Guralnick

引用次数: 0

Abstract

We study the conjugacy classes of the classical affine groups. We derive generating functions for the number of classes analogous to formulas of Wall and the authors for the classical groups. We use these to get good upper bounds for the number of classes. These naturally come up as difficult cases in the study of the noncoprime $k (G V)$ problem of Brauer.

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仿射群中共轭类的枚举

我们研究了经典仿射群的共轭类。我们推导出了类数的生成函数，类似于沃尔和作者对经典群的公式。我们利用这些公式得到了很好的类数上限。在研究布劳尔的非幂 k(GV) 问题时，这些自然会成为难题。

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 & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.