Algebraic & Geometric Topology Volume 22, issue 7 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

A new construction of CAT(0) cube complexes

Robert Kropholler and Federico Vigolo

Algebraic & Geometric Topology 22 (2022) 3327–3375

DOI: 10.2140/agt.2022.22.3327

Bibliography

1	M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
2	R Bieri, Homological dimension of discrete groups, Queen Mary College (1981) MR715779
3	M R Bridson, On the existence of flat planes in spaces of nonpositive curvature, Proc. Amer. Math. Soc. 123 (1995) 223 MR1273477
4	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
5	K S Brown, Cohomology of groups, 87, Springer (1982) MR1324339
6	V Chepoi, M F Hagen, On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanes, J. Combin. Theory Ser. B 103 (2013) 428 MR3071375
7	P Dani, M Haulmark, G Walsh, Right-angled Coxeter groups with non-planar boundary, preprint (2019) arXiv:1902.01029
8	M W Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. 117 (1983) 293 MR690848
9	C Droms, A complex for right-angled Coxeter groups, Proc. Amer. Math. Soc. 131 (2003) 2305 MR1974626
10	A Genevois, Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups, Algebr. Geom. Topol. 20 (2020) 49 MR4071367
11	A Genevois, Coning-off CAT(0) cube complexes, Ann. Inst. Fourier (Grenoble) 71 (2021) 1535 MR4398242
12	F Haglund, D T Wise, Special cube complexes, Geom. Funct. Anal. 17 (2008) 1551 MR2377497
13	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
14	T Januszkiewicz, J Świątkowski, Hyperbolic Coxeter groups of large dimension, Comment. Math. Helv. 78 (2003) 555 MR1998394
15	R Kropholler, Hyperbolic groups with almost finitely presented subgroups, Groups Geom. Dyn. 16 (2022) 153 MR4424967
16	G Moussong, Hyperbolic Coxeter groups, PhD thesis, Ohio State University (1988)
17	D Osajda, A construction of hyperbolic Coxeter groups, Comment. Math. Helv. 88 (2013) 353 MR3048190
18	P Przytycki, J Świątkowski, Flag-no-square triangulations and Gromov boundaries in dimension 3, Groups Geom. Dyn. 3 (2009) 453 MR2516175
19	M Roller, Poc sets, median algebras and group actions, preprint (2016) arXiv:1607.07747
20	M Sageev, CAT(0) cube complexes and groups, from: "Geometric group theory" (editors M Bestvina, M Sageev, K Vogtmann), IAS/Park City Math. Ser. 21, Amer. Math. Soc. (2014) 7 MR3329724
21	E C Zeeman, Seminar on combinatorial topology, (1963)