Algebraic & Geometric Topology Volume 22, issue 6 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Quasi-isometric rigidity of subgroups and filtered ends

Eduardo Martínez-Pedroza and Luis Jorge Sánchez Saldaña

Algebraic & Geometric Topology 22 (2022) 3023–3057

DOI: 10.2140/agt.2022.22.3023

Bibliography

1	J Behrstock, C Druţu, L Mosher, Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity, Math. Ann. 344 (2009) 543 MR2501302
2	B H Bowditch, Splittings of finitely generated groups over two-ended subgroups, Trans. Amer. Math. Soc. 354 (2002) 1049 MR1867372
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
4	C Druţu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959 MR2153979
5	B Farb, L Mosher, A rigidity theorem for the solvable Baumslag–Solitar groups, Invent. Math. 131 (1998) 419 MR1608595
6	R Frigerio, J F Lafont, A Sisto, Rigidity of high dimensional graph manifolds, 372, Soc. Math. France (2015) MR3444648
7	A Genevois, Quasi-isometrically rigid subgroups in right-angled Coxeter groups, Algebr. Geom. Topol. 22 (2022) 657 MR4464462
8	A Genevois, R Tessera, Asymptotic geometry of lamplighters over one-ended groups, preprint (2021) arXiv:2105.04878
9	R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
10	M Haulmark, G C Hruska, On canonical splittings of relatively hyperbolic groups, preprint (2019) arXiv:1912.00886
11	B B Healy, G C Hruska, Cusped spaces and quasi-isometries of relatively hyperbolic groups, preprint (2020) arXiv:2010.09876
12	C H Houghton, Ends of locally compact groups and their coset spaces, J. Austral. Math. Soc. 17 (1974) 274 MR0357679
13	M Kapovich, B Leeb, Quasi-isometries preserve the geometric decomposition of Haken manifolds, Invent. Math. 128 (1997) 393 MR1440310
14	P H Kropholler, M A Roller, Relative ends and duality groups, J. Pure Appl. Algebra 61 (1989) 197 MR1025923
15	A Margolis, The geometry of groups containing almost normal subgroups, Geom. Topol. 25 (2021) 2405 MR4310893
16	L Mosher, M Sageev, K Whyte, Quasi-actions on trees II : Finite depth Bass–Serre trees, 1008, Amer. Math. Soc. (2011) MR2867450
17	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, 843, Amer. Math. Soc. (2006) MR2182268
18	P Papasoglu, Quasi-isometry invariance of group splittings, Ann. of Math. 161 (2005) 759 MR2153400
19	R E Schwartz, The quasi-isometry classification of rank one lattices, Inst. Hautes Études Sci. Publ. Math. 82 (1995) 133 MR1383215