On the maximum order of torsion elements in GL(n,Z) and Aut(Fn)

被引：13

作者：

Levitt, G ^{[1
]}

Nicolas, JL

机构：

[1] Univ Toulouse 3, UMR CNRS 5580, Lab Emile Picard, F-31062 Toulouse 4, France

[2] Univ Lyon 1, UPRES A CNRS 5028, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

JOURNAL OF ALGEBRA | 1998年 / 208卷 / 02期

关键词：

D O I：

10.1006/jabr.1998.7481

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the maximum order of torsion elements in GL(n,Z) and Aut(F-n), denoted G(n) and H(n), respectively. We prove a Landau-type estimate log G(n) similar to root n log n, and we show that H(n) = G(n) if and only if n not equal 2,6,12. (C) 1998 Academic Press.

引用

页码：630 / 642

页数：13

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