@book{AST_2003__289__R1_0, author = {Scott, Peter and Swarup, Gadde A.}, title = {Regular neighbourhoods and canonical decompositions for groups}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {289}, year = {2003}, mrnumber = {2032389}, zbl = {1036.20028}, language = {en}, url = {http://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. http://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
-