CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS

被引:2
|
作者
Zhou, Wei [1 ]
Kim, Goansu [2 ]
Shi, Wujie [3 ]
Tang, C. Y. [4 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Yeungnam Univ, Dept Math, Kyongsan 712749, South Korea
[3] Chongqing Univ Arts & Sci, Dept Math & Stat, Chongqing 402160, Peoples R China
[4] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
基金
中国国家自然科学基金;
关键词
generalized free products; residually finite; conjugacy separable; nilpotent groups; SURFACE GROUPS;
D O I
10.4134/BKMS.2010.47.6.1195
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non-cyclic amalgamated subgroup. Applying this criterion, we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
引用
收藏
页码:1195 / 1204
页数:10
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