Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Leighton's theorem and regular cube complexes

Daniel J Woodhouse

Algebraic & Geometric Topology 23 (2023) 3395–3415
Bibliography
1 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2 D Angluin, Local and global properties in networks of processors (extended abstract), from: "Proceedings of the twelfth annual ACM symposium on theory of computing", Association for Computing Machinery (1980) 82
3 H Bass, R Kulkarni, Uniform tree lattices, J. Amer. Math. Soc. 3 (1990) 843 MR1065928
4 M Bourdon, H Pajot, Rigidity of quasi-isometries for some hyperbolic buildings, Comment. Math. Helv. 75 (2000) 701 MR1789183
5 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
6 M Burger, S Mozes, Finitely presented simple groups and products of trees, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997) 747 MR1446574
7 P Dani, The large-scale geometry of right-angled Coxeter groups, from: "Handbook of group actions, V" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 48, International (2020) 107 MR4237891
8 M W Davis, The geometry and topology of Coxeter groups, 32, Princeton Univ. Press (2008) MR2360474
9 C Godsil, G Royle, Algebraic graph theory, 207, Springer (2001) MR1829620
10 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
11 F Haglund, Commensurability and separability of quasiconvex subgroups, Algebr. Geom. Topol. 6 (2006) 949 MR2240922
12 F Haglund, D T Wise, Special cube complexes, Geom. Funct. Anal. 17 (2008) 1551 MR2377497
13 J Huang, Commensurability of groups quasi-isometric to RAAGs, Invent. Math. 213 (2018) 1179 MR3842063
14 R Kropholler, Special cube complexes, from: "Geometric and cohomological group theory" (editors P H Kropholler, I J Leary, C Martínez-Pérez, B E A Nucinkis), London Math. Soc. Lecture Note Ser. 444, Cambridge Univ. Press (2018) 46 MR3822288
15 N Lazarovich, On regular CAT(0) cube complexes and the simplicity of automorphism groups of rank-one CAT(0) cube complexes, Comment. Math. Helv. 93 (2018) 33 MR3777124
16 F T Leighton, Finite common coverings of graphs, J. Combin. Theory Ser. B 33 (1982) 231 MR693362
17 G Moussong, Hyperbolic Coxeter groups, PhD thesis, Ohio State University (1988) MR2636665
18 W D Neumann, On Leighton’s graph covering theorem, Groups Geom. Dyn. 4 (2010) 863 MR2727669
19 T Piesk, public domain image
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 S Shepherd, Two generalisations of Leighton’s theorem, Groups Geom. Dyn. 16 (2022) 743 MR4506536
22 D T Wise, Non-positively curved squared complexes : Aperiodic tilings and non-residually finite groups, PhD thesis, Princeton University (1996) MR2694733
23 D T Wise, From riches to raags : 3–manifolds, right-angled Artin groups, and cubical geometry, 117, Amer. Math. Soc. (2012) MR2986461
24 D J Woodhouse, Revisiting Leighton’s theorem with the Haar measure, Math. Proc. Cambridge Philos. Soc. 170 (2021) 615 MR4243770