Non-orientable surface-plus-one-relation groups

被引：4

作者：

Antolin, Yago ^{[1
]}

Dicks, Warren ^{[1
]}

Linnell, Peter A. ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

JOURNAL OF ALGEBRA | 2011年 / 326卷 / 01期

关键词：

L-2-Betti number; Surface-plus-one-relation group; LOCALLY INDICABLE GROUPS; FREE-PRODUCTS; THEOREM; EQUATIONS; RING;

D O I：

10.1016/j.jalgebra.2009.03.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently Dicks-Linnell determined the L-2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L-2-Betti numbers of the non-orientable surface-plus-one-relation groups. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4 / 33

页数：30

共 27 条

[21]

HOWIE J, 2004, B SOC MAT MEX, V10, P545

[22] On generalized free products of residually finite p-groups [J].

Kim, G ;

Tang, CY .

JOURNAL OF ALGEBRA, 1998, 201 (01) :317-327

[23] ON AMALGAMATED FREE-PRODUCTS OF RESIDUALLY P-FINITE GROUPS [J].

KIM, GS ;

MCCARRON, J .

JOURNAL OF ALGEBRA, 1993, 162 (01) :1-11

[24]

LINNELL PA, 1992, CR ACAD SCI I-MATH, V315, P49

[25] Connections between groups and ideals in a special ring. [J].

Magnus, W .

MATHEMATISCHE ANNALEN, 1935, 111 :259-280

[26]

SHORT H, 1984, THESIS U WARWICK COV

[27] CONJUGACY SEPARABILITY OF CERTAIN FREE PRODUCTS WITH AMALGAMATION [J].

STEBE, PF .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 156 (MAY) :119-&

← 1 2 3 →