- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:01
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
10
2016
1
An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields
Kevin
Wortman
University of Utah, SALT LAKE CITY, UNITED STATES
Cohomology of groups, arithmetic groups, Euclidean buildings
Let ${\bf G} (\mathcal{O}_S)$ be a noncocompact irreducible arithmetic group over a global function field $K$ of characteristic $p$, and let $\Gamma$ be a finite-index, residually $p$-finite subgroup of ${\bf G}(\mathcal{O}_S)$. We show that the cohomology of $\Gamma$ in the dimension of its associated Euclidean building with coefficients in the field of $p$ elements is infinite.
Group theory and generalizations
91
115
10.4171/GGD/344
http://www.ems-ph.org/doi/10.4171/GGD/344