### 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 | |

State | Published - Jan 1 2011 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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*Proceedings of the American Mathematical Society*, vol. 139, no. 1, pp. 111-124. https://doi.org/10.1090/S0002-9939-2010-10605-6

**On finite arithmetic simplicial complexes.** / Papikian, Mihran.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On finite arithmetic simplicial complexes

AU - Papikian, Mihran

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=78650752906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650752906&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2010-10605-6

DO - 10.1090/S0002-9939-2010-10605-6

M3 - Article

AN - SCOPUS:78650752906

VL - 139

SP - 111

EP - 124

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -