Conjugacy separability of certain Seifert 3-manifold groups

被引：6

作者：

Allenby, RBJT

Kim, G ^{[1
]}

Tang, CY

机构：

[1] Yeungnam Univ, Kyongsan 712749, South Korea

[2] Univ Leeds, Leeds LS2 9JT, W Yorkshire, England

[3] Univ Waterloo, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF ALGEBRA | 2005年 / 285卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Seifert 3-manifold groups; generalized free products; residually finite; conjugacy separable; subgroup separable; double coset separable;

D O I：

10.1016/j.jalgebra.2004.10.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that Seifert 3-manifold groups are residually finite. Niblo [J. Pure Appl. Algebra 78 (1992) 77-84] showed that they are double coset separable. Applying this result we show that, except for some special cases, most of the Seifert 3-manifold groups are conjugacy separable. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：481 / 507

页数：27

共 23 条

[1]

ALLENBY RBJ, 1979, T AM MATH SOC, V247, P375

[2] THE POTENCY OF CYCLICALLY PINCHED ONE-RELATOR GROUPS [J].

ALLENBY, RBJT .

ARCHIV DER MATHEMATIK, 1981, 36 (03) :204-210

[3]

Allenby RBJT, 2003, ALGEBR COLLOQ, V10, P121

[4]

Dyer J., 1980, J AUSTRAL MATH SOC A, V29, P35, DOI 10.1017/S1446788700020917

[5]

FINE B, 1990, CONT MATH, V109, P11

[6] CONJUGATE SEPARABILITY IN POLYCYCLIC GROUPS [J].

FORMANEK, E .

JOURNAL OF ALGEBRA, 1976, 42 (01) :1-10

[7]

Hempel J., 1976, Annals of Mathematics Studies, V86

[8]

Kim G., 1995, GROUPS KOREA, P173

[9]

KIM G, 1998, P 96 BEIJ INT S SPRI, P10

[10]

MAGNUS W, 1966, PURE APPL MATH, V13

← 1 2 3 →