Algebraic & Geometric Topology Volume 18, issue 7 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

To Appear

Other MSP Journals

Detecting a subclass of torsion-generated groups

Emily Stark

Algebraic & Geometric Topology 18 (2018) 4037–4068

DOI: 10.2140/agt.2018.18.4037

Bibliography

1	D Angluin, Local and global properties in networks of processors, from: "Proceedings of the twelfth annual ACM Symposium on Theory of Computing" (editors R E Miller, S Ginsburg, W A Burkhard, R J Lipton), ACM (1980) 82
2	J Behrstock, M F Hagen, A Sisto, Quasiflats in hierarchically hyperbolic spaces, preprint (2017) arXiv:1704.04271
3	J Behrstock, M F Hagen, A Sisto, Thickness, relative hyperbolicity, and randomness in Coxeter groups, Algebr. Geom. Topol. 17 (2017) 705 MR3623669
4	J A Behrstock, W D Neumann, Quasi-isometric classification of graph manifold groups, Duke Math. J. 141 (2008) 217 MR2376814
5	B H Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998) 145 MR1638764
6	K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
7	M Burger, S Mozes, Lattices in product of trees, Inst. Hautes Études Sci. Publ. Math. 92 (2000) 151 MR1839489
8	P E Caprace, Buildings with isolated subspaces and relatively hyperbolic Coxeter groups, Innov. Incidence Geom. 10 (2009) 15 MR2665193
9	C H Cashen, A Martin, Quasi-isometries between groups with two-ended splittings, Math. Proc. Cambridge Philos. Soc. 162 (2017) 249 MR3604915
10	A Casson, D Jungreis, Convergence groups and Seifert fibered 3–manifolds, Invent. Math. 118 (1994) 441 MR1296353
11	R Charney, K Ruane, N Stambaugh, A Vijayan, The automorphism group of a graph product with no SIL, Illinois J. Math. 54 (2010) 249 MR2776995
12	R Charney, H Sultan, Contracting boundaries of CAT(0) spaces, J. Topol. 8 (2015) 93 MR3339446
13	J Crisp, L Paoluzzi, Commensurability classification of a family of right-angled Coxeter groups, Proc. Amer. Math. Soc. 136 (2008) 2343 MR2390500
14	C Cunningham, A Eisenberg, A Piggott, K Ruane, Recognizing right-angled Coxeter groups using involutions, Pacific J. Math. 284 (2016) 41 MR3530862
15	P Dani, E Stark, A Thomas, Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups, Groups Geom. Dyn. 12 (2018) 1273 MR3874643
16	P Dani, A Thomas, Divergence in right-angled Coxeter groups, Trans. Amer. Math. Soc. 367 (2015) 3549 MR3314816
17	P Dani, A Thomas, Bowditch’s JSJ tree and the quasi-isometry classification of certain Coxeter groups, J. Topol. 10 (2017) 1066 MR3743069
18	M W Davis, The geometry and topology of Coxeter groups, 32, Princeton Univ. Press (2008) MR2360474
19	C Druţu, M Kapovich, Geometric group theory, 63, Amer. Math. Soc. (2018) MR3753580
20	M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449 MR807066
21	D Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992) 447 MR1189862
22	P Haïssinsky, L Paoluzzi, G Walsh, Boundaries of Kleinian groups, Illinois J. Math. 60 (2016) 353 MR3665183
23	M Haulmark, H Nguyen, H C Tran, On boundaries of relatively hyperbolic right-angled Coxeter groups, preprint (2017) arXiv:1708.07818
24	M Kapovich, Hyperbolic manifolds and discrete groups, 183, Birkhäuser (2001) MR1792613
25	J F Lafont, Diagram rigidity for geometric amalgamations of free groups, J. Pure Appl. Algebra 209 (2007) 771 MR2298855
26	F T Leighton, Finite common coverings of graphs, J. Combin. Theory Ser. B 33 (1982) 231 MR693362
27	I Levcovitz, A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups, preprint (2017) arXiv:1705.06416
28	I Levcovitz, Divergence of CAT(0) cube complexes and Coxeter groups, Algebr. Geom. Topol. 18 (2018) 1633 MR3784015
29	W Malone, Topics in geometric group theory, PhD thesis, The University of Utah (2010) MR2941275
30	P Papasoglu, K Whyte, Quasi-isometries between groups with infinitely many ends, Comment. Math. Helv. 77 (2002) 133 MR1898396
31	J G Ratcliffe, Foundations of hyperbolic manifolds, 149, Springer (1994) MR1299730
32	E Rips, Z Sela, Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Ann. of Math. 146 (1997) 53 MR1469317
33	P Scott, T Wall, Topological methods in group theory, from: "Homological group theory" (editor C T C Wall), London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press (1979) 137 MR564422
34	E Stark, Abstract commensurability and quasi-isometry classification of hyperbolic surface group amalgams, Geom. Dedicata 186 (2017) 39 MR3602885
35	P Tukia, Homeomorphic conjugates of Fuchsian groups, J. Reine Angew. Math. 391 (1988) 1 MR961162