Geometry & Topology Volume 9, issue 3 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Automorphisms and abstract commensurators of 2–dimensional Artin groups

John Crisp

Geometry & Topology 9 (2005) 1381–1441

DOI: 10.2140/gt.2005.9.1381

Bibliography

1	E Artin, Braids and permutations, Ann. of Math. $(2)$ 48 (1947) 643 MR0020989
2	P Bahls, Automorphisms of Coxeter groups, Trans. Amer. Math. Soc. 358 (2006) 1781 MR2186996
3	P Bahls, Strongly rigid even Coxeter groups, Topology Proc. 28 (2004) 19 MR2105446
4	N Brady, J P McCammond, B Mühlherr, W D Neumann, Rigidity of Coxeter groups and Artin groups, from: "Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000)" (2002) 91 MR1950875
5	N Brady, J Crisp, Two-dimensional Artin groups with $\mathrm{CAT}(0)$ dimension three, from: "Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000)" (2002) 185 MR1950878
6	M R Bridson, On the semisimplicity of polyhedral isometries, Proc. Amer. Math. Soc. 127 (1999) 2143 MR1646316
7	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer (1999) MR1744486
8	R Charney, J Crisp, Automorphism groups of some affine and finite type Artin groups, Math. Res. Lett. 12 (2005) 321 MR2150887
9	R Charney, M W Davis, The $K(\pi,1)$–problem for hyperplane complements associated to infinite reflection groups, J. Amer. Math. Soc. 8 (1995) 597 MR1303028
10	A M Cohen, L Paris, On a theorem of Artin, J. Group Theory 6 (2003) 421 MR2007739
11	C Droms, Isomorphisms of graph groups, Proc. Amer. Math. Soc. 100 (1987) 407 MR891135
12	N D Gilbert, J Howie, V Metaftsis, E Raptis, Tree actions of automorphism groups, J. Group Theory 3 (2000) 213 MR1753479
13	E Godelle, Parabolic subgroups of Artin groups of type FC, Pacific J. Math. 208 (2003) 243 MR1971664
14	E Godelle, Artin–Tits groups with CAT(0) Deligne complex, J. Pure Appl. Algebra 208 (2007) 39 MR2269827
15	H van der Lek, The homotopy type of complex hyperplane complements, PhD thesis, University of Nijmegen (1983)
16	G Moussong, Hyperbolic Coxeter groups, PhD thesis, Ohio State University (1988)
17	B Mühlherr, The isomorphism problem for Coxeter groups, from: "The Coxeter legacy", Amer. Math. Soc. (2006) 1 MR2209018
18	B Mühlherr, R Weidmann, Rigidity of skew-angled Coxeter groups, Adv. Geom. 2 (2002) 391 MR1941338
19	G A Niblo, L D Reeves, The geometry of cube complexes and the complexity of their fundamental groups, Topology 37 (1998) 621 MR1604899
20	L Paris, Artin groups of spherical type up to isomorphism, J. Algebra 281 (2004) 666 MR2098788
21	M Sageev, Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. $(3)$ 71 (1995) 585 MR1347406