On finite arithmetic simplicial complexes
classification
🧮 math.NT
keywords
arithmeticcharacteristicsimplicialactionalgebrasarisingbruhat-titsbuilding
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.