@article{PMIHES_2000__92__113_0,
author = {Burger, Marc and Mozes, Shahar},
title = {Groups acting on trees : from local to global structure},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {113--150},
year = {2000},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {92},
mrnumber = {1839488},
zbl = {01656530},
language = {en},
url = {https://www.numdam.org/item/PMIHES_2000__92__113_0/}
}
TY - JOUR AU - Burger, Marc AU - Mozes, Shahar TI - Groups acting on trees : from local to global structure JO - Publications Mathématiques de l'IHÉS PY - 2000 SP - 113 EP - 150 VL - 92 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_2000__92__113_0/ LA - en ID - PMIHES_2000__92__113_0 ER -
%0 Journal Article %A Burger, Marc %A Mozes, Shahar %T Groups acting on trees : from local to global structure %J Publications Mathématiques de l'IHÉS %D 2000 %P 113-150 %V 92 %I Institut des Hautes Etudes Scientifiques %U https://www.numdam.org/item/PMIHES_2000__92__113_0/ %G en %F PMIHES_2000__92__113_0
Burger, Marc; Mozes, Shahar. Groups acting on trees : from local to global structure. Publications Mathématiques de l'IHÉS, Tome 92 (2000), pp. 113-150. https://www.numdam.org/item/PMIHES_2000__92__113_0/
[At] , , , , , Atlas of finite groups, Oxford, Clarendon Press, 1985. | Zbl | MR
[Bo-Ti] , , Homomorphismes "abstraits" de groupes algébriques simples, Ann. of Math. 97 (1973), 499-571. | Zbl | MR
[B-C-N] , , , Distance Regular Graphs, Ergebnisse, 3. Folge, Band 18, Springer 1989. | Zbl | MR
[B-M]1 , , Finitely presented simple groups and products of trees, C.R. Acad. Sci. Paris, t. 324, Serie I, 1997, p. 747-752. | Zbl | MR
[B-M]2 , , Lattices in products of trees, Publ. Math. IHES 92 (2001), 151-194. | Zbl | MR | Numdam
[B-M-Z] , , , Linear representations and arithmeticity for lattices in products of trees, in preparation.
[Ba-Lu] , , Tree lattices, Progr. Math. 176 (2001), Birkhäuser. | Zbl | MR
[Ba-Ku] , , Uniform tree lattices, J. Amer. Math. Soc. 3 (1990), 843-902. | Zbl | MR
[Bal-G-S] , , , Manifolds of nonpositive curvature, Progr. Math. 61 (1985), Birkhäuser. | Zbl | MR
[Ca] , Permutation groups in Handbook of Combinatorics, R. L. Graham, M. Grötschel, L. Lovász (eds), Elsevier, 1995, vol. I, 611-646. | Zbl | MR
[Di-Mo] , , Permutation Groups, Graduate Texts in Mathematics 163, Springer 1996. | Zbl | MR
[F-Ne] , , Harmonic analysis and representation theory for groups acting on homogeneous trees. LMS Lecture Notes Series 162, Cambridge Univ. Press, 1991. | Zbl | MR
[Go] , Automorphisms of trivalent graphs, Ann. Math. 111 (1980), 377-406. | Zbl | MR
[Lu] , Tree lattices and lattices in Lie groups, in Combinatorial and geometric group theory, Edinburgh 1993, LMS Lecture Notes Series 204 (1995), 217-232. | Zbl | MR
[L-M-Z] , , , Superrigidity of the commensurability group of tree lattices, Comment. Math. Helv. 69 (1994), 523-548. | Zbl | MR
[Ne] , Groups of isometries of a tree and the Kunze-Stein phenomenon, Pacific Journal of Mathematics, Vol. 133, No. 1, 1988. | Zbl | MR
[Pr] , Finite quasiprimitive graphs in Surveys in Combinatorics, 1997, Proc. of the 16th British combinatorial conference, London UK, July 1997. London: Cambridge University Press, Lond. Math. Soc. LNS 241 (1997), 65-85. | Zbl
[Se] , Trees, Springer 1980. | Zbl | MR
[Th] , Bounds for orders of maximal subgroups, J. Algebra 14 (1970), 135-138. | Zbl | MR
[Ti]1 , Algebraic and abstract simple groups, Ann. of Math. 80 (1964), 313-329. | Zbl | MR
[Ti]2 , Sur le groupe des automorphismes d'un arbre in Essays on Topology and Related Topics: Mémoires dédiés à Georges de Rham, A. Haefliger, R. Narasimhan (eds), Berlin and New York, Springer-Verlag (1970), 188-211. | Zbl | MR
[Tu] , A family of cubical graphs, Proc. Cambridge Phil. Soc. 43 (1947), 459-474. | Zbl | MR
[We] , Generalized polygons and s-transitive graphs in Finite Geometries Buildings and Related Topics, W. M. Kantor, R. A. Liebler, S. E. Payne, E. E. Shult (eds) Oxford, Clarendon Press (1990), 95-103. | Zbl | MR
[Wi] , Subnormal Subgroups and Permutation Groups, Ohio State University Lecture Notes (1971), Columbus.
[Wil] , Profinite Groups, London Math. Soc. monographs 19 (1998), Oxford science publications. | Zbl | MR





