Algebraic & Geometric Topology Volume 22, issue 3 (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

Strictly systolic angled complexes and hyperbolicity of one-relator groups

Martín Axel Blufstein and Elías Gabriel Minian

Algebraic & Geometric Topology 22 (2022) 1159–1175

DOI: 10.2140/agt.2022.22.1159

Bibliography

1	W Ballmann, S Buyalo, Nonpositively curved metrics on 2–polyhedra, Math. Z. 222 (1996) 97 MR1388005
2	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
3	D J Collins, J Huebschmann, Spherical diagrams and identities among relations, Math. Ann. 261 (1982) 155 MR675732
4	G Gardam, D J Woodhouse, The geometry of one-relator groups satisfying a polynomial isoperimetric inequality, Proc. Amer. Math. Soc. 147 (2019) 125 MR3876736
5	S M Gersten, Reducible diagrams and equations over groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 15 MR919828
6	S M Gersten, Subgroups of word hyperbolic groups in dimension 2, J. London Math. Soc. 54 (1996) 261 MR1405055
7	S M Gersten, H B Short, Small cancellation theory and automatic groups, Invent. Math. 102 (1990) 305 MR1074477
8	M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
9	R G Hanlon, E Martínez-Pedroza, Lifting group actions, equivariant towers and subgroups of non-positively curved groups, Algebr. Geom. Topol. 14 (2014) 2783 MR3276848
10	J Huang, D Osajda, Metric systolicity and two-dimensional Artin groups, Math. Ann. 374 (2019) 1311 MR3985112
11	G Huck, S Rosebrock, Weight tests and hyperbolic groups, from: "Combinatorial and geometric group theory" (editors A J Duncan, N D Gilbert, J Howie), London Math. Soc. Lecture Note Ser. 204, Cambridge Univ. Press (1995) 174 MR1320281
12	S V Ivanov, P E Schupp, On the hyperbolicity of small cancellation groups and one-relator groups, Trans. Amer. Math. Soc. 350 (1998) 1851 MR1401522
13	T Januszkiewicz, J Świątkowski, Simplicial nonpositive curvature, Publ. Math. Inst. Hautes Études Sci. 104 (2006) 1 MR2264834
14	I Kapovich, Howson property and one-relator groups, Comm. Algebra 27 (1999) 1057 MR1669108
15	W Magnus, A Karrass, D Solitar, Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience (1966) MR0207802
16	B B Newman, Some results on one-relator groups, Bull. Amer. Math. Soc. 74 (1968) 568 MR222152
17	C M Weinbaum, On relators and diagrams for groups with one defining relation, Illinois J. Math. 16 (1972) 308 MR297849
18	D T Wise, Sectional curvature, compact cores, and local quasiconvexity, Geom. Funct. Anal. 14 (2004) 433 MR2062762