On finite arithmetic simplicial complexes

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3 Scopus citations


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
Issue number1
StatePublished - Jan 2011

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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