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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On finite arithmetic simplicial complexes


Author: Mihran Papikian
Journal: Proc. Amer. Math. Soc. 139 (2011), 111-124
MSC (2010): Primary 11F06, 11G09; Secondary 20E08
Published electronically: July 30, 2010
MathSciNet review: 2729075
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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.


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Additional Information

Mihran Papikian
Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
Email: papikian@math.psu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10605-6
PII: S 0002-9939(2010)10605-6
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.