Groups with boundedly many commutators of maximal order

被引：0
|
作者：
Longobardi, P. [1 ]
Maj, M. [1 ]
Shumyatsky, P. [2 ]
Traustason, G. [3 ]
机构：
[1] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy
[2] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil
[3] Univ Bath, Dept Math Sci, Bath, Avon, England
来源：
JOURNAL OF ALGEBRA | 2021年 / 567卷
基金：
英国工程与自然科学研究理事会;
关键词：
Commutators; FC-groups;
D O I：
10.1016/j.jalgebra.2020.09.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By a result of Cocke and Venkataraman we know that if G is a group with at most m elements of maximal order, then vertical bar G vertical bar is m-bounded. In this paper we consider the following related setting. Suppose G is a group with at most m commutators whose order is maximal among all commutators. What can we say about the structure of the group G? (C) 2020 Elsevier Inc. All rights reserved.
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页码：269 / 283
页数：15
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