On finite arithmetic simplicial complexes

Mihran Papikian

doi:10.1090/S0002-9939-2010-10605-6

On finite arithmetic simplicial complexes

Mihran Papikian

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We compute the Euler-Poincaré characteristic of quotients of the Bruhat-Tits building of 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.

Original language	English (US)
Pages (from-to)	111-124
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-2010-10605-6
State	Published - Jan 2011

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2010-10605-6

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abstract = "We compute the Euler-Poincar{\'e} characteristic of quotients of the Bruhat-Tits building of 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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AB - We compute the Euler-Poincaré characteristic of quotients of the Bruhat-Tits building of 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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On finite arithmetic simplicial complexes

Abstract

All Science Journal Classification (ASJC) codes

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