Automorphisms of large-type free-of-infinity Artin groups

被引：0

作者：

Vaskou, Nicolas ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Woodland Rd, Bristol BS8 1UG, England

来源：

GEOMETRIAE DEDICATA | 2025年 / 219卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Artin groups; Automorphisms; Deligne complex;

D O I：

10.1007/s10711-024-00951-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute explicitly the automorphism and outer automorphism group of all large-type free-of-infinity Artin groups. Our strategy involves reconstructing the associated Deligne complexes in a purely algebraic manner, i.e. in a way that is independent from the choice of standard generators for the groups.

引用

页数：20

共 22 条

[1] THE AUTOMORPHISM GROUPS OF ARTIN GROUPS OF EDGE-SEPARATED CLTTF GRAPHS
An, Byung Hee
Cho, Youngjin
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (06) : 1171 - 1213
[2] Bader Shaked, 2024, Geom. Dedicata, V218, P5
[3] Rigidity of Coxeter groups and Artin groups
Brady, N
McCammond, JP
Mühlherr, B
Neumann, WD
[J]. GEOMETRIAE DEDICATA, 2002, 94 (01) : 91 - 109
[4] THE K(PI,1)-PROBLEM FOR HYPERPLANE COMPLEMENTS ASSOCIATED TO INFINITE REFLECTION GROUPS
CHARNEY, R
DAVIS, MW
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 8 (03) : 597 - 627
[5] Automorphisms and abstract commensurators of 2-dimensional Artin groups
Crisp, J
[J]. GEOMETRY & TOPOLOGY, 2005, 9 : 1381 - 1441
[6] ISOMORPHISMS OF GRAPH GROUPS
DROMS, C
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 100 (03) : 407 - 408
[7] Automorphisms of graph products of groups from a geometric perspective
Genevois, Anthony
Martin, Alexandre
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019, 119 (06) : 1745 - 1779
[8] Godelle E, 2012, CRM SER, V14, P299
[9] Goldsborough Antoine, 2024, Algebraic and Geometric Topology
[10] Haefliger A., 1999, METRIC SPACES NONPOS

← 1 2 3 →