Length functions of 2-dimensional right-angled Artin groups

被引：1

作者：

Charney, Ruth ^{[1
]}

Margolis, Max ^{[2
]}

机构：

[1] Brandeis Univ, Waltham, MA 02453 USA

[2] Harry S Truman Coll, Chicago, IL 60640 USA

来源：

GEOMETRIAE DEDICATA | 2013年 / 166卷 / 01期

基金：

美国国家科学基金会;

关键词：

Right-angled Artin group; CAT(0) cube complex; Translation length; AUTOMORPHISMS;

D O I：

10.1007/s10711-012-9784-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Morgan and Culler proved that a minimal action of a free group on a tree is determined by its translation length function. We prove an analogue of this theorem for 2-dimensional right-angled Artin groups acting on CAT(0) rectangle complexes.

引用

页码：31 / 45

页数：15

共 50 条

[21] Zassenhaus filtrations and right-angled Artin groups
Tra, Nguyen Thi
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[22] Abelian splittings of right-angled Artin groups
Groves, Daniel
Hull, Michael
HYPERBOLIC GEOMETRY AND GEOMETRIC GROUP THEORY, 2017, 73 : 159 - 165
[23] Pushing fillings in right-angled Artin groups
Abrams, Aaron
Brady, Noel
Dani, Pallavi
Duchin, Moon
Young, Robert
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 87 : 663 - 688
[24] Divergence and quasimorphisms of right-angled Artin groups
Jason Behrstock
Ruth Charney
Mathematische Annalen, 2012, 352 : 339 - 356
[25] Algebraic invariants for right-angled Artin groups
Stefan Papadima
Alexander I. Suciu
Mathematische Annalen, 2006, 334 : 533 - 555
[26] Surface subgroups of right-angled Artin groups
Crisp, John
Sageev, Michah
Sapir, Mark
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2008, 18 (03) : 443 - 491
[27] On the profinite topology of right-angled Artin groups
Metaftsis, V.
Raptis, E.
JOURNAL OF ALGEBRA, 2008, 320 (03) : 1174 - 1181
[28] GRAPH BRAID GROUPS AND RIGHT-ANGLED ARTIN GROUPS
Kim, Jee Hyoun
Ko, Ki Hyoung
Park, Hy Won
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (01) : 309 - 360
[29] Embedability between right-angled Artin groups
Kim, Sang-Hyun
Koberda, Thomas
GEOMETRY & TOPOLOGY, 2013, 17 (01) : 493 - 530
[30] Palindromic automorphisms of right-angled Artin groups
Fullarton, Neil J.
Thomas, Anne
GROUPS GEOMETRY AND DYNAMICS, 2018, 12 (03) : 865 - 887

← 1 2 3 4 5 →