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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 06期

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

页码：1195 / 1204

页数：10

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