On the distribution of the density of maximal order elements in general linear groups

被引：1

作者：

Aivazidis, S. ^{[1
]}

Sofos, E. ^{[2
]}

机构：

[1] Univ London, Sch Math Sci, London E1 4NS, England

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

RAMANUJAN JOURNAL | 2015年 / 38卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

General linear groups; Asymptotic estimates; Singer cycles; Euler's phi function; Density function; ASYMPTOTIC-DISTRIBUTION;

D O I：

10.1007/s11139-014-9619-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the density of maximal order elements in . Fixing any of the rank of the group, the characteristic or the degree of the extension of the underlying field of size , we compute the expected value of the said density and establish that it follows a distribution law.

引用

页码：35 / 59

页数：25