Algebraic & Geometric Topology Volume 24, issue 3 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Bounded subgroups of relatively finitely presented groups

Eduard Schesler

Algebraic & Geometric Topology 24 (2024) 1551–1567

DOI: 10.2140/agt.2024.24.1551

Bibliography

1	E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. Lond. Math. Soc. 37 (2005) 459 MR2131400
2	B H Bowditch, Relatively hyperbolic groups, Internat. J. Algebra Comput. 22 (2012) 1250016 MR2922380
3	J M Cohen, Cogrowth and amenability of discrete groups, J. Funct. Anal. 48 (1982) 301 MR0678175
4	M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes : les groupes hyperboliques de Gromov, 1441, Springer (1990) MR1075994
5	R Coulon, F Dal’Bo, A Sambusetti, Growth gap in hyperbolic groups and amenability, Geom. Funct. Anal. 28 (2018) 1260 MR3856793
6	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
7	F Dahmani, D Futer, D T Wise, Growth of quasiconvex subgroups, Math. Proc. Cambridge Philos. Soc. 167 (2019) 505 MR4015648
8	B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
9	R I Grigorchuk, Symmetrical random walks on discrete groups, from: "Multicomponent random systems" (editors R L Dobrushin, Y G Sinai, D Griffeath), Adv. Probab. Related Topics 6, Dekker (1980) 285 MR0599539
10	M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR0919829
11	D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, Israel J. Math. 168 (2008) 317 MR2448064
12	S Hughes, E Martínez-Pedroza, L J Sánchez Saldaña, Quasi-isometry invariance of relative filling functions, Groups Geom. Dyn. 17 (2023) 1483 MR4641375
13	J Milnor, A note on curvature and fundamental group, J. Differential Geom. 2 (1968) 1 MR0232311
14	A Y Olshanskii, Subnormal subgroups in free groups, their growth and cogrowth, Math. Proc. Cambridge Philos. Soc. 163 (2017) 499 MR3708520
15	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, 843, Amer. Math. Soc. (2006) MR2182268
16	D Osin, Acylindrically hyperbolic groups, Trans. Amer. Math. Soc. 368 (2016) 851 MR3430352
17	E Schesler, The relative exponential growth rate of subgroups of acylindrically hyperbolic groups, J. Group Theory 25 (2022) 293 MR4388363
18	Z Sela, Diophantine geometry over groups, I : Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. 93 (2001) 31 MR1863735
19	R Sharp, Relative growth series in some hyperbolic groups, Math. Ann. 312 (1998) 125 MR1645953