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.
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页码：35 / 59
页数：25
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