@book{AST_2003__289__R1_0,
author = {Scott, Peter and Swarup, Gadde A.},
title = {Regular neighbourhoods and canonical decompositions for groups},
series = {Ast\'erisque},
year = {2003},
publisher = {Soci\'et\'e math\'ematique de France},
number = {289},
mrnumber = {2032389},
zbl = {1036.20028},
language = {en},
url = {https://www.numdam.org/item/AST_2003__289__R1_0/}
}
Scott, Peter; Swarup, Gadde A. Regular neighbourhoods and canonical decompositions for groups. Astérisque, no. 289 (2003), 239 p. https://www.numdam.org/item/AST_2003__289__R1_0/
[1] & Relations related to betweenness: their structure and automorphisms, Mem. Amer. Math. Soc., vol. 623, American Mathematical Society, Providence, RI, 1998. | MR | Zbl
[2] Covering theory for graphs of groups, J. Pure Appl. Algebra 89 (1993), no. 1-2, p. 3-47. | MR | Zbl | DOI
[3] - On groups acting on locally finite graphs, Ann. of Math. 88 (1968), p. 335-340. | MR | Zbl | DOI
[4] & Bounding the complexity of simplicial actions on trees, Invent. Math. 103 (1991), p. 145-186. | MR | Zbl | DOI
[5] Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998), p. 145-186. | MR | Zbl | DOI
[6] , Connectedness properties of limit sets, Trans. Amer. Math. Soc. 351 (1999), p. 3673-3686. | MR | Zbl | DOI
[7] , Treelike structures arising from continua and convergence groups, Mem. Amer. Math. Soc., vol. 662, American Mathematical Society, Providence, RI, 1999. | MR | Zbl
[8] , Splittings of finitely generated groups over two-ended subgroups, Trans. Amer. Math. Soc. 354 (2002), no. 3, p. 1049-1078. | MR | Zbl | DOI
[9] - Groups of cohomological dimension one, Lect. Notes in Math., vol. 245, Springer-Verlag, Berlin, 1972. | MR | Zbl
[10] & - Groups acting on graphs, Cambridge Studies in Advanced Mathematics, vol. 17, Cambridge University Press, 1989. | MR | Zbl
[11] - Accessibility and groups of cohomological dimension one, Proc. London Math. Soc. (3) 38 (1979), p. 193-215. | MR | Zbl | DOI
[12] , The accessibility of finitely presented groups, Invent. Math. 81 (1985), p. 449-457. | MR | Zbl | EuDML | DOI
[13] & - Splittings of groups over polycyclic by finite subgroups, Bull. London Math. Soc. 25 (1993), p. 29-36. | MR | Zbl | DOI
[14] & JSJ-splittings for finitely presented groups over slender groups, Invent. Math. 135 (1999), p. 25-44. | MR | Zbl | DOI
[15] & - The Algebraic Torus Theorem, Invent. Math. 140 (2000), p. 605-637. | MR | Zbl | DOI
[16] - On uniqueness of JSJ decompositions of finitely generated groups, Comment. Math. Helv., to appear. | MR | Zbl
[17] , Deformation and rigidity of simplicial group actions on trees, Geom. Topol. 6 (2002), p. 219-267. | MR | Zbl | EuDML | DOI
[18] , & - Closed geodesics on surfaces, Bull. London Math. Soc. 14 (1982), p. 385-391. | MR | Zbl | DOI
[19] , Least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (1983), p. 609-642. | MR | Zbl | EuDML | DOI
[20] & - JSJ-decompositions for finitely presented groups and complexes of groups, Preprint, 1997. | Zbl
[21] - Topological Methods in Group Theory, book to appear. | MR | Zbl | DOI
[22] A very short proof of Forester's rigidity result, Geom. Topol. 7 (2003), p. 321-328. | MR | Zbl | EuDML | DOI
[23] Subgroups of finitely presented groups, Proc. Roy. Soc. London Ser. A 262 (1961), p. 455-475. | MR | Zbl | DOI
[24] - Ends of locally compact groups and their quotient spaces, J. Aust. Math. Soc. 17 (1974), p. 274-284. | MR | Zbl | DOI
[25] & - Seifert fibered spaces in 3-manifolds, vol. 21, Mem. Amer. Math. Soc., no. 220, American Mathematical Society, Providence, RI, 1979. | MR | Zbl
[26] - Homotopy equivalences of 3-manifolds with boundary, Lect. Notes in Math., vol. 761, Springer-Verlag, 1979. | MR | Zbl
[27] - An analogue of the torus decomposition theorem for certain Poincaré duality groups, Proc. London Math. Soc. (3) 60 (1990), p. 503-529. | MR | Zbl | DOI
[28] , A group-theoretic proof of the torus theorem, in Geometric group theory, Vol. 1 (Sussex, 1991), London Math. Soc. Lecture Note Ser., vol. 181, Cambridge Univ. Press, Cambridge, 1993, p. 138-158. | MR | Zbl | DOI
[29] & - Splittings of Poincaré duality groups, Math. Z. 197 (1988), no. 3, p. 421-438. | MR | Zbl | EuDML | DOI
[30] & , Relative ends and duality groups, J. Pure Appl. Algebra 61 (1989), p. 197-210. | MR | Zbl | DOI
[31] & , Splittings of Poincaré duality groups III, J. London Math. Soc. (2) 39 (1989), no. 2, p. 271-284. | MR | Zbl | DOI
[32] & - The characteristic submanifold in higher dimensions, Comment. Math. Helv. 75 (2000), p. 201-215. | Zbl | MR
[33] - Examples of Poincaré duality groups, Proc. Amer. Math. Soc. 110 (1990), no. 4, p. 1145-1146. | MR | Zbl
[34] & Canonical decompositions of 3-manifolds, Geom. Topol. 1 (1997), p. 21-40. | MR | Zbl | EuDML | DOI
[35] - The singularity obstruction for group splittings, Topology Appl. 119 (2002), no. 1, p. 17-31. | MR | Zbl | DOI
[36] & - Cyclic splittings of finitely presented groups and canonical JSJ-decomposition, Ann. of Math. (2) 146 (1997), p. 53-109. | MR | Zbl | DOI
[37] & - -injective surfaces in graph manifolds, Comment. Math. Helv. 73 (1998), p. 499-515. | MR | Zbl | DOI
[38] - Codimension-1 subgroups and splittings of groups, J. Algebra 189 (1997), no. 2, p. 377-389. | MR | Zbl | DOI
[39] - JSJ-decompositions of 3-manifolds, unpublished manuscript.
[40] , Ends of pairs of groups, J. Pure Appl. Algebra 11 (1977), p. 179-198. | MR | Zbl | DOI
[41] , A new proof of the Annulus and Torus Theorems, Amer. J. Math. 102 (1980), p. 241-277. | MR | Zbl | DOI
[42] , The Symmetry of Intersection Numbers in Group Theory, Geom. Topol. 2 (1998), p. 11-29, Correction (ibid), 1998. | MR | Zbl | EuDML | DOI
[43] & - An Algebraic Annulus Theorem, Pacific J. Math. 196 (2000), p. 461-506. | MR | Zbl | DOI
[44] & , Splittings of groups and intersection numbers, Geom. Topol. 4 (2000), p. 179-218. | MR | Zbl | EuDML | DOI
[45] & , Canonical splittings of groups and 3-manifolds, Trans. Amer. Math. Soc. 353 (2001), p. 4973-5001. | MR | Zbl | DOI
[46] & , Regular Neighbourhoods and canonical decompositions for groups, Electron. Res. Announc. Amer. Math. Soc. 8 (2002), p. 20-28. | MR | Zbl | EuDML | DOI
[47] & - Topological methods in group theory, in Homological Group Theory, London Math. Soc. Lecture Notes Ser., vol. 36, Cambridge University Press, 1979, p. 137-214. | MR | Zbl | DOI
[48] Acylindrical accessibility for groups, Invent. Math. 129 (1997), p. 527-565. | MR | Zbl | DOI
[49] , Structure and rigidity in (Gromov) hyperbolic groups and rank 1 Lie groups, Geometric and Functional Anal. 7 (1997), p. 561-593. | MR | Zbl | DOI
[50] Arbres, amalgames, , Astérisque, vol. 46, Société Mathématique de France, Paris, 1977. | MR | Zbl | Numdam
[51] , Trees, Springer-Verlag, Berlin-New York, 1980, Translated from the French by John Stillwell. | MR | Zbl
[52] - On torsion-free groups with infinitely many ends, Ann. of Math. 88 (1968), p. 312-334. | MR | Zbl | DOI
[53] , Group theory and three-dimensional manifolds, Yale Mathematical Monographs, vol. 4, Yale University Press, New Haven, Conn., 1971. | MR | Zbl
[54] Axial pairs and convergence groups on , Topology 39 (2000), p. 229-237. | MR | Zbl | DOI
[55] - Sur le groupe des automorphismes d'un arbre, in Essays on topology and related topics (Mémoires dédiés a Georges de Rham) (A. Haefliger & R. Narasimhan, eds.), Springer-Verlag, New York-Berlin, 1970, p. 188-211. | MR | Zbl | DOI
[56] - On the determination of some bounded 3-manifolds by their fundamental groups alone, in Proc. of the International sympo. on Topology and its applications, Herceg-Novi, Yugoslavia, Beograd, 1969, p. 331-332. | Zbl






