On finite arithmetic simplicial complexes

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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 languageEnglish (US)
Pages (from-to)111-124
Number of pages14
JournalProceedings of the American Mathematical Society
Volume139
Issue number1
DOIs
StatePublished - Jan 1 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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