Generalised triangle groups of type (3, q, 2)

被引：0

作者：

Howie, James ^{[1
,2
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 15卷 / 01期

关键词：

Generalized triangle groups; Tits alternative;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If G is a group with a presentation of the form < x, y| x(3) = y(q) = W(x, y)(2) = 1 >, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.

引用

页码：1 / 18

页数：18

共 24 条

[1]

Barkovich O. A., 2004, DOKL NAT AKAD NAUK B, V48, P28

[2]

Barkovich O. A., 2003, DOKL NAT AKAD NAUK B, V47, P24

[3] GENERALIZED TRIANGLE GROUPS [J].

BAUMSLAG, G ;

MORGAN, JW ;

SHALLEN, PB .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 102 :25-31

[4]

Benyash-Krivets V. V., 2003, DOKL NAT AKAD NAUK B, V47, P14

[5]

Benyash-Krivets V.V., 2005, P INT C MATH ITS APP, P59

[6]

Benyash-Krivets V. V., 2007, DOKL NAT AKAD NAUK, V51, P125

[7]

Benyash-Krivets V. V., 2004, ALGEBRA DISCRETE MAT, P23

[8]

Benyash-Krivets V. V., 2007, DOKL NAT AKAD NAUK B, V51, P29

[9]

BIERI R, 1980, P LOND MATH SOC, V41, P439

[10] FREE SUBGROUPS AND DECOMPOSITIONS OF ONE-RELATOR PRODUCTS OF CYCLICS .1. THE TITS ALTERNATIVE [J].

FINE, B ;

LEVIN, F ;

ROSENBERGER, G .

ARCHIV DER MATHEMATIK, 1988, 50 (02) :97-109

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