ON FINITE NUMBER OF CONJUGACY CLASSES IN GROUPS

被引：0

作者：

Krempa, Jan ^{[1
]}

Macedonska, Olga ^{[2
]}

Tomaszewski, Witold ^{[2
]}

机构：

[1] Univ Warsaw, Inst Math, Warsaw, Poland

[2] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 12期

关键词：

Conjugacy class; Finiteness conditions; Group extension;

D O I：

10.1080/00927872.2013.833212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The work is inspired by an article of Herzog, Longobardi, and Maj, who considered groups with a finite number of infinite conjugacy classes. Their main results were obtained under assumption that the FC-center is of finite index in the group. We consider here infinite groups with a finite number of conjugacy classes of any size (FNCC-groups). Hence the FC-center in our case will be finite, but of infinite index in the group. Among results on these groups we give a criterion for a wreath product of FNCC-groups to be an FNCC-group.

引用

页码：5170 / 5179

页数：10

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