On orderable poly engel groups

被引：0
|
作者：
Kim, Yangkok
Rhemtulla, Akbar
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Dongeui Univ, Dept Math, Pusan, South Korea
来源：
COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 08期
关键词：
locally graded groups; n-Engel; nilpotent; orderable groups; poly-chi groups;
D O I：
10.1080/00927870600639849
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that an orderable n-Engel group is nilpotent. We show that an orderable group that is an extension of an n-Engel group by an n-Engel group is nilpotent-by-nilpotent. However, a finitely generated orderable poly n-Engel group need not be solvable in general.
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页码：3023 / 3027
页数：5
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