Algebraic & Geometric Topology Volume 4, issue 2 (2004)

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The conjugacy problem for relatively hyperbolic groups

Inna Bumagin

Algebraic & Geometric Topology 4 (2004) 1013–1040

DOI: 10.2140/agt.2004.4.1013

Bibliography

1	E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. London Math. Soc. 37 (2005) 459 MR2131400
2	J M Alonso, e al., Notes on word hyperbolic groups, from: "Group theory from a geometrical viewpoint (Trieste, 1990)", World Sci. Publ., River Edge, NJ (1991) 3 MR1170363
3	B Baumslag, Residually free groups, Proc. London Math. Soc. $(3)$ 17 (1967) 402 MR0215903
4	B H Bowditch, Relatively hyperbolic groups, preprint, University of Southampton (1998)
5	B H Bowditch, Connectedness properties of limit sets, Trans. Amer. Math. Soc. 351 (1999) 3673 MR1624089
6	B H Bowditch, Boundaries of geometrically finite groups, Math. Z. 230 (1999) 509 MR1680044
7	B H Bowditch, Peripheral splittings of groups, Trans. Amer. Math. Soc. 353 (2001) 4057 MR1837220
8	I Bumagin, On definitions of relatively hyperbolic groups, from: "Geometric methods in group theory", Contemp. Math. 372, Amer. Math. Soc. (2005) 189 MR2139687
9	J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123 MR758901
10	D J Collins, C F Miller III, The conjugacy problem and subgroups of finite index, Proc. London Math. Soc. $(3)$ 34 (1977) 535 MR0435227
11	F Dahmani, Classifying spaces and boundaries for relatively hyperbolic groups, Proc. London Math. Soc. $(3)$ 86 (2003) 666 MR1974394
12	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
13	M Dehn, Über unendliche diskontinuierliche Gruppen, Math. Ann. 71 (1911) 116 MR1511645
14	B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
15	A Juhász, Extension of group presentations and relative small cancellation theory I, Internat. J. Algebra Comput. 10 (2000) 375 MR1759186
16	, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990) MR1086648
17	B Goldfarb, Novikov conjectures and relative hyperbolicity, Math. Scand. 85 (1999) 169 MR1724233
18	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
19	G C Hruska, Nonpositively curved 2–complexes with isolated flats, Geom. Topol. 8 (2004) 205 MR2033482
20	I Kapovich, P Schupp, Relative hyperbolicity and Artin groups, Geom. Dedicata 107 (2004) 153 MR2110760
21	O Kharlampovich, A Myasnikov, Irreducible affine varieties over a free group II: Systems in triangular quasi-quadratic form and description of residually free groups, J. Algebra 200 (1998) 517 MR1610664
22	O G Kharlampovich, A G Myasnikov, V N Remeslennikov, D E Serbin, Subgroups of fully residually free groups: algorithmic problems, from: "Group theory, statistics, and cryptography", Contemp. Math. 360, Amer. Math. Soc. (2004) 63 MR2105437
23	I G Lysënok, Some algorithmic properties of hyperbolic groups, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 814, 912 MR1018749
24	H A Masur, Y N Minsky, Geometry of the complex of curves I: Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
25	A W Mostowski, On the decidability of some problems in special classes of groups, Fund. Math. 59 (1966) 123 MR0224693
26	A G Myasnikov, V N Remeslennikov, D E Serbin, Regular free length functions on Lyndon's free $\mathbb{Z}[t]$–group $F^{Z[t]}$, from: "Groups, languages, algorithms", Contemp. Math. 378, Amer. Math. Soc. (2005) 37 MR2159314
27	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc. 179 (2006) MR2182268
28	D V Osin, Weak hyperbolicity and free constructions, from: "Group theory, statistics, and cryptography", Contemp. Math. 360, Amer. Math. Soc. (2004) 103 MR2105438
29	D Rebbechi, Algorithmic properties of relatively hyperbolic groups, PhD thesis, Rutgers University (2000)
30	Z Sela, Diophantine geometry over groups I: Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. (2001) 31 MR1863735
31	A Szczepański, Relatively hyperbolic groups, Michigan Math. J. 45 (1998) 611 MR1653287
32	A Szczepański, Examples of relatively hyperbolic groups, Geom. Dedicata 93 (2002) 139 MR1934694
33	A Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004) 41 MR2039323