Lattices in product of trees
Publications Mathématiques de l'IHÉS (2000)
- Volume: 92, page 151-194
- ISSN: 0073-8301
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topBurger, Marc, and Mozes, Shahar. "Lattices in product of trees." Publications Mathématiques de l'IHÉS 92 (2000): 151-194. <http://eudml.org/doc/104169>.
@article{Burger2000,
author = {Burger, Marc, Mozes, Shahar},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {lattices; automorphism groups of regular trees; irreducible cocompact lattices},
language = {eng},
pages = {151-194},
publisher = {Institut des Hautes Études Scientifiques},
title = {Lattices in product of trees},
url = {http://eudml.org/doc/104169},
volume = {92},
year = {2000},
}
TY - JOUR
AU - Burger, Marc
AU - Mozes, Shahar
TI - Lattices in product of trees
JO - Publications Mathématiques de l'IHÉS
PY - 2000
PB - Institut des Hautes Études Scientifiques
VL - 92
SP - 151
EP - 194
LA - eng
KW - lattices; automorphism groups of regular trees; irreducible cocompact lattices
UR - http://eudml.org/doc/104169
ER -
References
top- [B-C-N] A. E. BROUWER, A. M. COHEN, A. NEUMAIER, Distance Regular Graphs, Ergebnisse, 3. Folge, Band 18, Springer 1989. Zbl0747.05073MR90e:05001
- [B-M]1 M. BURGER, S. MOZES, CAT(-1)-spaces, divergence groups and their commensurators, J. Amer. Math. Soc. vol. 9, No. 1 (1996), 57-93. Zbl0847.22004MR96c:20065
- [B-M]2 M. BURGER, S. MOZES, Finitely presented simple groups and products of trees, C.R. Acad. Sci. Paris, 324, Serie I (1997), 747-752. Zbl0966.20013MR98g:20041
- [B-M]3 M. BURGER, S. MOZES, Groups acting on trees: from local to global structure, Publ. Math. IHES 92 (2001), 113-150. Zbl1007.22012MR2002i:20041
- [B-M-Z] M. BURGER, S. MOZES, R. ZIMMER, Linear representations and arithmeticity of lattices in Aut TnXAut Tm, in preparation.
- [Ba] M. BHATTACHARJEE, Constructing finitely presented infinite nearly simple groups, Comm. in Algebra 22, II (1994), 4561-4589. Zbl0834.20020MR95j:20017
- [Bo] A. BOCHERT, Ueber die Classe der transitiven Substitutionsgruppen II, Math. Annalen 49 (1897), 133-144. Zbl28.0120.02JFM28.0120.02
- [Di-Mo] J. D. DIXON, B. MORTIMER, Permutation Groups, Graduate Texts in Mathematics 163, Springer 1996. Zbl0951.20001MR98m:20003
- [Ge-Sh] S. GERSTEN, H. SHORT, Small cancelation theory and automatic groups, Invent. Math. 102, 305-334. Zbl0714.20016MR92c:20058
- [Ha] A. HAEFLIGER, Complexes of groups and orbihedra in: Group theory from a geometrical viewpoint (E. Ghys, A. Haefliger and A. Verjovsky, eds.) ICTP Trieste, World Scientific (1991), 504-540. Zbl0858.57013MR93m:20048
- [K-N] V. D. MAZUROV, E. I. KHUKHRO (eds.), Unsolved problems in group theory. The Kourovka Notebook, Novosibirsk (1992).
- [Ma] G. A. MARGULIS, Discrete Subgroups of Semisimple Lie Groups, Ergebnisse, 3. Folge, Band 17, Springer 1991. Zbl0732.22008MR92h:22021
- [Ne] P. M. NEUMANN, The SQ-universality of some finitely presented groups, J. Austral. Math. Soc. XVI (1973), 1-6. Zbl0267.20026MR48 #11342
- [Pa] P. PANSU, Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles, Bull. Soc. Math. France 126, No. 1 (1998), 107-139. Zbl0933.22009MR2000d:53067
- [PLT] Problems in Low-dimensional topology, edited by R. Kirby; http://math.berkeley.edu/~kirby/. Zbl0892.57013
- [Pr] Ch. E. PRAEGER, 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. L.N.S. 241 (1997), 65-85. Zbl0881.05055
- [Se] J.-P. SERRE, Trees, Springer 1980. Zbl0548.20018MR82c:20083
- [Th] J. G. THOMPSON, Bounds for orders of maximal subgroups, J. Algebra 14 (1970), 135-138. Zbl0221.20031MR40 #5720
- [W] D. WISE, A non-positively curved squared complex with no finite covers (1995), Preprint.
- [Wi]1 H. WIELANDT, Finite Permutation Groups, Academic Press (1964). Zbl0138.02501MR32 #1252
- [Wi]2 H. WIELANDT, Subnormal subgroups and permutation groups, Ohio State University Lecture Notes, Columbus (1971).
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