Integrality in the Steinberg module and the top-dimensional cohomology of SLn OK

DOI10.1353/ajm.2019.0036zbMath1453.20043arXiv1501.01307OpenAlexW1612946182MaRDI QIDQ5236962

Benson Farb, Andrew Putman, Thomas Church

Publication date: 16 October 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01307

Mathematics Subject Classification ID

Cohomology of groups (20J06) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Cohomology theory for linear algebraic groups (20G10)

Related Items (7)

Steinberg homology, modular forms, and real quadratic fields ⋮ The Steinberg representation is irreducible ⋮ Universal complexes in toric topology ⋮ Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields ⋮ Eisenstein series and the top degree cohomology of arithmetic subgroups of \(\operatorname{SL}_n/\mathbb{Q} \) ⋮ Stability in the high-dimensional cohomology of congruence subgroups ⋮ The dualizing module and top-dimensional cohomology group of \(\mathrm{GL}_n(\mathcal{O})\)

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