On finite arithmetic simplicial complexes
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Abstract:
We compute the Euler-Poincaré characteristic of quotients of the Bruhat-Tits building of $\operatorname {PGL}(n)$ under the action of arithmetic groups arising from central division algebras over rational function fields of positive characteristic. We use this result to determine the structure of the quotient simplicial complex in certain cases.References
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Additional Information
- Mihran Papikian
- Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
- MR Author ID: 683851
- Email: papikian@math.psu.edu
- Received by editor(s): March 24, 2010
- Published electronically: July 30, 2010
- Additional Notes: The author was supported in part by NSF grant DMS-0801208.
- Communicated by: Matthew A. Papanikolas
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 111-124
- MSC (2010): Primary 11F06, 11G09; Secondary 20E08
- DOI: https://doi.org/10.1090/S0002-9939-2010-10605-6
- MathSciNet review: 2729075