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Cohomology of certain congruence subgroups of the modular group
Author(s):
Frank
Williams;
Robert
J.
Wisner
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1331-1336.
MSC (1991):
Primary 20J05;
Secondary 11F06
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Abstract:
In this note we compute the integral cohomology groups of the subgroups of and the corresponding subgroups of its quotient, the classical modular group,
References:
- 1.
- A. Adem and N. Naffah, On the cohomology of
to appear in the Proceedings of the Durham Symposium (1994) on Geometry and Cohomology in Group Theory. - 2.
- Y. Chuman, Generators and relations of
J. Math Kyoto Univ. 13 (1973) 381-390. MR 50:499 - 3.
- S. Hesselmann, Zur Torsion der S-arithmetischer Gruppen, Bonner Mathematische Schriften, 257 (1993), 1-93. MR 95m:11053
- 4.
- K. Moss, Homology of
Duke Mathematical Journal, 47 (1980), 803-818. MR 82b:20061 - 5.
- N. Naffah, On the integral Farrell cohomology ring of
, Thesis, ETH-Zurich, 1996. - 6.
- J.-P. Serre, Cohomologie des groupes discrets, Prospects in Mathematics, Annals of Math. Studies 70 (1971), 77-169. MR 52:5876
- 7.
- J.-P. Serre, Trees, Springer-Verlag, 1980. MR 82c:20083
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Additional Information:
Frank
Williams
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email:
frank@nmsu.edu
Robert
J.
Wisner
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
DOI:
10.1090/S0002-9939-98-04367-6
PII:
S 0002-9939(98)04367-6
Received by editor(s):
October 30, 1996
Additional Notes:
The authors would like to thank Alejandro Adem, Ross Staffeldt, Susan Hermiller, Ray Mines, and Morris Newman for their helpful comments.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1998,
American Mathematical Society
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