Splittings of triangle Artin groups

被引：1

作者：

Jankiewicz, Kasia ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Dept Math, 1156 High St, Santa Cruz, CA 95060 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2024年 / 18卷 / 01期

基金：

美国国家科学基金会;

关键词：

Artin groups; graphs of free groups; residual finiteness; RESIDUAL FINITENESS; BRAID-GROUPS; LINEARITY;

D O I：

10.4171/GGD/740

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a triangle Artin group Art(MNP), where M <= N <= P, splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either M > 2 or N > 3. We also prove that all even 3 -generator Artin groups are residually finite.

引用

页码：91 / 108

页数：18

共 50 条

[1] Residual finiteness of certain 2-dimensional Artin groups
Jankiewicz, Kasia
ADVANCES IN MATHEMATICS, 2022, 405
[2] Cubulation of some triangle-free Artin groups
Haettel, Thomas
GROUPS GEOMETRY AND DYNAMICS, 2022, 16 (01) : 287 - 304
[3] ARTIN COVERS OF THE BRAID GROUPS
Amram, Meirav
Lawrence, Ruth
Vishne, Uzi
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2012, 21 (07)
[4] Note on the residual finiteness of Artin groups
Blasco-Garcia, Ruben
Juhasz, Arye
Paris, Luis
JOURNAL OF GROUP THEORY, 2018, 21 (03) : 531 - 537
[5] Poly-freeness of even Artin groups of FC type
Blasco-Garcia, Ruben
Martinez-Perez, Conchita
Paris, Luis
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (01) : 309 - 325
[6] Artin groups of type B and D
Crisp, J
Paris, L
ADVANCES IN GEOMETRY, 2005, 5 (04) : 607 - 636
[7] Injections of Artin groups
Bell, Robert W.
Margalit, Dan
COMMENTARII MATHEMATICI HELVETICI, 2007, 82 (04) : 725 - 751
[8] On a conjecture in Artin groups
Juhasz, Arye
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021, 31 (06) : 1217 - 1241
[9] On the Σ-invariants of Artin groups
Meier, J
Meinert, H
VanWyk, L
TOPOLOGY AND ITS APPLICATIONS, 2001, 110 (01) : 71 - 81
[10] Rigidity of Coxeter groups and Artin groups
Brady, N
McCammond, JP
Mühlherr, B
Neumann, WD
GEOMETRIAE DEDICATA, 2002, 94 (01) : 91 - 109

← 1 2 3 4 5 →