Geometry & Topology Volume 9, issue 4 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams

Daniel Groves

Geometry & Topology 9 (2005) 2319–2358

DOI: 10.2140/gt.2005.9.2319

Bibliography

1	E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. London Math. Soc. 37 (2005) 459 MR2131400
2	E Alibegović, Makanin–Razborov diagrams for limit groups, Geom. Topol. 11 (2007) 643 MR2302499
3	M Bestvina, M Feighn, Bounding the complexity of simplicial group actions on trees, Invent. Math. 103 (1991) 449 MR1091614
4	M Bestvina, M Feighn, Stable actions of groups on real trees, Invent. Math. 121 (1995) 287 MR1346208
5	M Bestvina, M Feighn, Notes on Sela's work: limit groups and Makanin–Razborov diagrams, prepring
6	M Bestvina, Questions in geometric group theory
7	B Bowditch, Relatively hyperbolic groups, preprint
8	F Dahmani, Classifying spaces and boundaries for relatively hyperbolic groups, Proc. London Math. Soc. $(3)$ 86 (2003) 666 MR1974394
9	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
10	F Dahmani, Accidental parabolics and relatively hyperbolic groups, Israel J. Math. 153 (2006) 93 MR2254639
11	F Dahmani, On equations in relatively hyperbolic groups, preprint
12	C Druţu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959 MR2153979
13	C Druţu, M Sapir, Relatively hyperbolic groups with rapid decay property, Int. Math. Res. Not. (2005) 1181 MR2147058
14	M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449 MR807066
15	B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
16	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
17	D Groves, Limits of (certain) CAT(0) groups I: Compactification, Algebr. Geom. Topol. 5 (2005) 1325 MR2171812
18	D Groves, Limits of certain CAT(0) groups II: The Hopf property and the shortening argument arXiv:math.GR/0408080
19	D Groves, Limit groups for relatively hyperbolic groups I: The basic tools arXiv:math.GR/0412492
20	V S Guba, Equivalence of infinite systems of equations in free groups and semigroups to finite subsystems, Mat. Zametki 40 (1986) 321, 428 MR869922
21	G C Hruska, Nonpositively curved spaces with isolated flats, PhD thesis, Cornell University (2002)
22	O Kharlampovich, A Myasnikov, Irreducible affine varieties over a free group I: Irreducibility of quadratic equations and Nullstellensatz, J. Algebra 200 (1998) 472 MR1610660
23	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
24	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, Mem. Amer. Math. Soc. 179 (2006) MR2182268
25	E Rips, Subgroups of small cancellation groups, Bull. London Math. Soc. 14 (1982) 45 MR642423
26	E Rips, Z Sela, Structure and rigidity in hyperbolic groups I, Geom. Funct. Anal. 4 (1994) 337 MR1274119
27	E Rips, Z Sela, Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Ann. of Math. $(2)$ 146 (1997) 53 MR1469317
28	Z Sela, Acylindrical accessibility for groups, Invent. Math. 129 (1997) 527 MR1465334
29	Z Sela, Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups II, Geom. Funct. Anal. 7 (1997) 561 MR1466338
30	Z Sela, Endomorphisms of hyperbolic groups I: The Hopf property, Topology 38 (1999) 301 MR1660337
31	Z Sela, Diophantine geometry over groups I: Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. (2001) 31 MR1863735
32	Z Sela, Diophantine geometry over groups VII: The elementary theory of a hyperbolic group, preprint
33	Z Sela, Diophantine geometry over groups: a list of research problems
34	J P Serre, Trees, Springer (1980) MR607504
35	A Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004) 41 MR2039323