Outer automorphism groups of certain 1-relator groups

被引：0

作者：

KIM Goansu

机构：

[1] DepartmentofMathematics,YeungnamUniversity

来源：

ScienceChina(Mathematics) | 2010年 / 53卷 / 06期

关键词：

1-relator groups; generalized free products; residually finite; conjugacy separable; outer automorphism groups;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Grossman first showed that outer automorphism groups of 1-relator groups given by orientable surface groups are residually finite,whence mapping class groups of orientable surfaces are residually finite.Allenby,Kim and Tang showed that outer automorphism groups of cyclically pinched 1-relator groups are residually finite,whence mapping class groups of orientable and non-orientable surfaces are residually finite.In this paper we show that outer automorphism groups of certain conjugacy separable 1-relator groups are residually finite.

引用

页码：1635 / 1641

页数：7

共 7 条

[1]

Residual finiteness of outer automorphism groups of certain 1-relator groups[J]. KIM Goansu,TANG C. Y..Science in China(Series A:Mathematics). 2009(02)

[2] Residual finiteness of outer automorphism groups of certain pinched 1-relator groups [J].

Allenby, RBJT ;

Kim, GS ;

Tang, CY .

JOURNAL OF ALGEBRA, 2001, 246 (02) :849-858

[3] ADJOINING ROOTS TO CONJUGACY SEPARABLE GROUPS [J].

KIM, G ;

MCCARRON, J ;

TANG, CY .

JOURNAL OF ALGEBRA, 1995, 176 (02) :327-345

[4]

Separating conjugates in amalgamated free products and HNN extensions[J] . Joan L. Dyer.Journal of the Australian Mathematical Society . 1980 (1)

[5]

Conjugacy separability of certain Fuchsian groups[J] . P. F. Stebe.tran . 1972

[6] RESIDUALLY FINITE ONE-RELATOR GROUPS [J].

BAUMSLAG, G .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (05) :618-&

[7]

Das Identit?tsproblem für Gruppen mit einer definierenden Relation[J] . W. Magnus.Mathematische Annalen . 1932 (1)

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