|
Trees and discrete subgroups of Lie groups over local fields
Author(s):
Alexander
Lubotzky
Journal:
Bull. Amer. Math. Soc.
20
(1989),
27-30.
MSC (1985):
Primary 22E40;
Secondary 20G25
MathSciNet review:
945301
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [B] H. Behr, Finite presentability of arithmetic groups over global function fields, Proc. Edinburgh Math. Soc. 30 (1987), 23-39. MR 879427
- [BL] H. Bass and A. Lubotzky (in preparation).
- [BT] F. Bruhat and J. Tits, Groupes algébriques simples sur un corps locals, Proc. Conf. on Local Fields (T. A. Springer, ed.) (Driebergen) Springer-Verlag, New York, 1967, pp. 23-36. MR 230838
- [DM] P. Deligne and G. D. Mostow, Monodromy of hypergeometric functions and non lattice integral monodromy groups, Inst. Hautes Études Sci. Publ. Math. 63 (1986), 5-90. MR 849651
- [E] P. Eberlein, Lattices in spaces of non positive curvature, Ann. of Math. (2) 111 (1980), 435-476. MR 577132
- [GP] L. Gerritzen and M. van der Put, Schottky groups and Mumford curves, Lecture Notes in Math., vol. 817, Springer-Verlag, New York, 1980. MR 590243
- [GPS] M. Gromov and I. Piatetski-Shapiro, Non-arithmetic groups in Lobachevsky spaces, Inst. Hautes Études Sci. Publ. Math. 66 (1988), 93-103. MR 932135
- [GR] H. Garland and M. S. Raghunathan, Fundamental domains for lattices in (R)-rank1 semisimple Lie groups, Ann. of Math. (2) 92 (1970), 279-326. MR 267041
- [I] Y. Ihara, On discrete subgroups of the two by two projective linear group over p-adic fields, J. Math. Soc. Japan 18 (1966), 219-235. MR 223463
- [Ka] D. A. Kazdhan, Some applications of the Weil representation, J. Analyse Math. 32 (1977), 235-248. MR 492089
- [L1] A. Lubotzky, Group presentation, p-adic analytic groups and lattices in SL2(C), Ann. of Math. (2) 118 (1983), 115-130. MR 707163
- [L2] A. Lubotzky, Lattices in rank one semisimple Lie groups over local fields (in preparation).
- [Ma] G. A. Margulis, Arithmeticity of irreducible lattices in the semi-simple groups of rank greater than 1, Invent Math. 76 (1984), 93-120. MR 739627
- [Mi] J. J. Millson, On the first Betti number of constant negative curved manifold, Ann. of Math. (2) 104 (1976), 235-247. MR 422501
- [M1] G. D. Mostow, Strong rigidity of locally symmetric spaces, Ann. of Math. Stud., no. 78, Princeton Univ. Press, Princeton, N.J., 1973. MR 385004
- [M2] G. D. Mostow, On a remarkable class of polyhedra in complex hyperbolic space, Pacific J. Math. 86(1980), 171-276. MR 586876
- [R1] M. S. Raghunathan, On the congruence subgroup problem, Inst. Hautes Études Sci. Publ. Math. 46 (1976), 107-161. MR 507030
- [R2] M. S. Raghunathan, On the congruence subgroups problem. II, Invent. Math. 85 (1986), 73-117. MR 842049
- [S1] J.-P. Serre, Le problème des groupes de congruence pour SL, Ann. of Math. (2) 92 (1970), 489-527. MR 272790
- [S2] J.-P. Serre, Trees, Springer-Verlag, New York, 1980. MR 607504
- [Z] R. Zimmer, Ergodic theory and semi-simple groups, Birkhäuser, Boston, 1984. MR 776417
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
22E40, 20G25
Retrieve articles in all Journals with MSC
(1985):
22E40, 20G25
Additional Information:
DOI:
10.1090/S0273-0979-1989-15686-3
PII:
S 0273-0979(1989)15686-3
|