On finite arithmetic simplicial complexes

Details On finite arithmetic simplicial complexes On finite arithmetic simplicial complexes

2010-06-16

arxiv.org/abs/1006.3198v1

Mathematics

Number Theory

14 pages

Scientific paper

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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