Geodesic
An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields
Kevin Wortman1
1University of Utah, Salt Lake City, USA
Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 91-115

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DOI

Let G(OS​) be a noncocompact irreducible arithmetic group over a global function field K of characteristic p, and let Γ be a finite-index, residually p-finite subgroup of G(OS​). We show that the cohomology of Γ in the dimension of its associated Euclidean building with coefficients in the field of p elements is infinite.
DOI : 10.4171/ggd/344
Classification : 20-XX
Mots-clés : Cohomology of groups, arithmetic groups, Euclidean buildings

Kevin Wortman  1

1 University of Utah, Salt Lake City, USA 
Kevin Wortman. An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 91-115. doi: 10.4171/ggd/344
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     title = {An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields},
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     year = {2016},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/344/}
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