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Book Review
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Book Information
Author(s):
Hyman Bass and Alexander Lubotzky
Title:
Tree lattices
Additional book information:
with appendices by H. Bass, L. Carbone, A. Lubotzky,
G. Rosenberg, and J. Tits, Prog. Math., vol.176,
Birkhäuser Boston, Inc.,
Boston, MA,
2001,
xiv + 233,
$54.95,
0-8176-4120-3
References:
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- [Ba]
- H. Bass, Covering theory for graphs of groups, J. Pure Appl. Algebra 89(1993), 3-47. MR 94j:20028
- [BK]
- H. Bass and R. Kulkarni, Uniform tree lattices, J. Amer. Math. Soc. 3(1990), 843-902. MR 91k:20034
- [BL]
- H. Bass and A. Lubotzky, Tree lattices, with appendices by Bass, L. Carbone, Lubotzky, G. Rosenberg and J. Tits. Progress in Mathematics, 176, Birkhauser Boston Inc., Boston, 2001. MR 2001k:20056
- [Be]
- H. Behr, Finite presentability of arithmetic groups over global function fields, Proc. Edinburgh Math. Soc. 30(1987), 23-39. MR 88f:11032
- [Bo]
- A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2(1963), 111-122. MR 26:3823
- [Bo2]
- A. Borel, Introduction aux groupes arithmetiques, Hermann, Paris, 1969. MR 39:5577
- [BH]
- A. Borel and G. Harder, Existence of discrete cocompact subgroups of reductive groups over local fields, J. Reine Angew. Math. 298(1978), 53-64. MR 80b:22022
- [BM1]
- M. Burger and S. Mozes, Lattices in product of trees, Inst. Hautes Etudes Sci. Publ. Math., no.92(2000), 151-194(2001). MR 2002i:20042
- [BM2]
- M. Burger and S. Mozes, Groups acting on trees: from local to global structure, Inst. Hautes Etudes Sci. Publ. Math. no.92(2000), 113-150(2001). MR 2002i:20041
- [BMZ]
- M. Burger, S. Mozes and R. Zimmer, Irreducible lattices in the automorphism group of a product of trees, superrigidity and arithmeticity, in preparation.
- [Ca1]
- L. Carbone, Non-uniform lattices on uniform trees, Mem. Amer. Math. Soc. 152(2001), no. 724. MR 2002k:20045
- [Ca2]
- L. Carbone, Non-minimal actions and the existence of non-uniform tree lattices, in preparation.
- [Ka]
- D. A. Kazhdan, On connection between the dual space of a group and the structure of its closed subgroups, Funct. Anal. Appl. 1(1967), 63-65.
- [Li]
- Y. S. Liu, Density of the commensurability groups of uniform tree lattices, J. Algebra 165(1994), 346-359. MR 95c:20036
- [Lu1]
- A. Lubotzky, Lattices in rank one Lie groups over local fields, Geom. Funct. Anal. 1(1991), 405-431. MR 92k:22019
- [Lu2]
- A. Lubotzky, Tree-lattices and lattices in Lie groups, Combinatorial and Geometric Group Theory (Edinburgh, 1993) 217-232, London Math. Soc. Lecture Notes Ser., 204, Cambridge Univ. Press, Cambridge, 1995.
- [Ma]
- G. A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Springer-Verlag, Berlin, 1991. MR 92h:22021
- [Ra]
- M. S. Raghunathan, Discrete subgroups of algebraic groups over local fields of positive characteristics, Proc. Indian Acad. Sci. Math. Sci. 99(1989), 127-146. MR 91a:22010
- [Se]
- J. P. Serre, Trees, Springer-Verlag, New York, 1980. MR 82c:20083
- [Ta]
- T. Tamagawa, On discrete subgroups of
 -adic algebraic groups, in Arithmetical Algebraic Geometry, O.F.G. Schilling (ed.), Harper and Row, New York, 1965, 11-17. MR 33:4060
Additional Information:
Reviewer(s):
Lucy
Lifschitz
Affiliation:
University of Oklahoma
Email:
llifschitz@math.ou.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
40
(2003),
247-252.
MSC
(2000):
Primary 20E08
DOI:
10.1090/S0273-0979-03-00978-9
PII:
S 0273-0979(03)00978-9
Posted:
February 12, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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