4-Engel groups are locally nilpotent

被引：28

作者：

Havas, G ^{[1
]}

Vaughan-Lee, MR ^{[1
]}

机构：

[1] Univ Queensland, Sch Informat Technol & Elect Engn, ARC, Ctr Complex Syst, St Lucia, Qld 4072, Australia

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2005年 / 15卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

Engel groups; nilpotent groups;

D O I：

10.1142/S0218196705002475

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Questions about nilpotency of groups satisfying Engel conditions have been considered since 1936, when Zorn proved that finite Engel groups are nilpotent. We prove that 4-Engel groups are locally nilpotent. Our proof makes substantial use of both hand and machine calculations.

引用

页码：649 / 682

页数：34

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