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

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

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
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
Right-angled Artin subgroups of right-angled Coxeter and Artin groups

Pallavi Dani and Ivan Levcovitz

Algebraic & Geometric Topology 24 (2024) 755–802
Bibliography
1 P Bahls, The isomorphism problem in Coxeter groups, Imperial College Press (2005) MR2162146
2 Ş A Basarab, Partially commutative Artin–Coxeter groups and their arboreal structure, J. Pure Appl. Algebra 176 (2002) 1 MR1930963
3 J Behrstock, A counterexample to questions about boundaries, stability, and commensurability, from: "Beyond hyperbolicity" (editors M Hagen, R Webb, H Wilton), Lond. Math. Soc. Lect. Note Ser. 454, Cambridge Univ. Press (2019) 151 MR3966609
4 J Behrstock, R Charney, Divergence and quasimorphisms of right-angled Artin groups, Math. Ann. 352 (2012) 339 MR2874959
5 M Bestvina, B Kleiner, M Sageev, The asymptotic geometry of right-angled Artin groups, I, Geom. Topol. 12 (2008) 1653 MR2421136
6 A Björner, F Brenti, Combinatorics of Coxeter groups, 231, Springer (2005) MR2133266
7 R Charney, An introduction to right-angled Artin groups, Geom. Dedicata 125 (2007) 141 MR2322545
8 R Charney, H Sultan, Contracting boundaries of CAT(0) spaces, J. Topol. 8 (2015) 93 MR3339446
9 M Cordes, D Hume, Stability and the Morse boundary, J. Lond. Math. Soc. 95 (2017) 963 MR3664526
10 P Dani, I Levcovitz, Subgroups of right-angled Coxeter groups via Stallings-like techniques, J. Comb. Algebra 5 (2021) 237 MR4333953
11 P Dani, A Thomas, Divergence in right-angled Coxeter groups, Trans. Amer. Math. Soc. 367 (2015) 3549 MR3314816
12 M W Davis, The geometry and topology of Coxeter groups, from: "Introduction to modern mathematics" (editors S Y Cheng, L Ji, Y S Poon, J Xiao, L Yang, S T Yau), Adv. Lect. Math. 33, International (2015) 129 MR3445448
13 M W Davis, T Januszkiewicz, Right-angled Artin groups are commensurable with right-angled Coxeter groups, J. Pure Appl. Algebra 153 (2000) 229 MR1783167
14 V V Deodhar, A note on subgroups generated by reflections in Coxeter groups, Arch. Math. (Basel) 53 (1989) 543 MR1023969
15 M Dyer, Reflection subgroups of Coxeter systems, J. Algebra 135 (1990) 57 MR1076077
16 A Genevois, Cubical-like geometry of quasi-median graphs and applications to geometric group theory, PhD thesis, Aix-Marseille Université (2017) arXiv:1712.01618
17 A Genevois, Embeddings into Thompson’s groups from quasi-median geometry, Groups Geom. Dyn. 13 (2019) 1457 MR4033512
18 E R Green, Graph products of groups, PhD thesis, University of Leeds (1990)
19 F Haglund, D T Wise, Coxeter groups are virtually special, Adv. Math. 224 (2010) 1890 MR2646113
20 S h Kim, T Koberda, Embedability between right-angled Artin groups, Geom. Topol. 17 (2013) 493 MR3039768
21 G LaForge, Visible Artin subgroups of right-angled Coxeter groups, PhD thesis, Tufts University (2017) MR3768473
22 H T Nguyen, H C Tran, On the coarse geometry of certain right-angled Coxeter groups, Algebr. Geom. Topol. 19 (2019) 3075 MR4023336
23 M Sageev, Ends of group pairs and non-positively curved cube complexes, Proc. Lond. Math. Soc. 71 (1995) 585 MR1347406
24 J Tits, Le problème des mots dans les groupes de Coxeter, from: "Symposia mathematica, I", Academic (1969) 175 MR0254129
25 D T Wise, The structure of groups with a quasiconvex hierarchy, 209, Princeton Univ. Press (2021) MR4298722