The relative hyperbolicity of one-relator relative presentations

被引：5

作者：

Giang, Le Thi ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Leninskie Gory, Russia

来源：

JOURNAL OF GROUP THEORY | 2009年 / 12卷 / 06期

关键词：

EQUATIONS;

D O I：

10.1515/JGT.2009.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if G is a torsion-free group and w is a word in the alphabet G (sic) {t(+1)} with exponent sum 1 in t, then the group < G, t | w(k) = 1 > for k >= 2, is relatively hyperbolic with respect to G.

引用

页码：949 / 959

页数：11

共 50 条

[1] Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator
Klyachko, Anton A.
Lurye, Denis E.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (03) : 524 - 534
[2] ON THE ASPHERICITY OF ONE-RELATOR RELATIVE PRESENTATIONS
EDJVET, M
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1994, 124 : 713 - 728
[3] Free subgroups of one-relator relative presentations
A. A. Klyachko
Algebra and Logic, 2007, 46 : 158 - 162
[4] Free subgroups of one-relator relative presentations
Klyachko, A. A.
ALGEBRA AND LOGIC, 2007, 46 (03) : 158 - 162
[5] The structure of one-relator relative presentations and their centres
Klyachko, Anton A.
JOURNAL OF GROUP THEORY, 2009, 12 (06) : 923 - 947
[6] SQ-universality of one-relator relative presentations
Klyachko, Ant. A.
SBORNIK MATHEMATICS, 2006, 197 (9-10) : 1489 - 1508
[7] Hyperbolicity of one-relator groups
Buskin, N., V
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2007, 4 : 85 - 102
[8] On the residual finiteness and other properties of (relative) one-relator groups
Pride, Stephen J.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (02) : 377 - 386
[9] On the hyperbolicity of small cancellation groups and one-relator groups
Ivanov, SV
Schupp, PE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (05) : 1851 - 1894
[10] Strictly systolic angled complexes and hyperbolicity of one-relator groups
Blufstein, Martin Axel
Minian, Elias Gabriel
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2022, 22 (03): : 1159 - 1175

← 1 2 3 4 5 →