The dualizing module and top-dimensional cohomology group of \(\mathrm{GL}_n(\mathcal{O})\)

DOI10.1007/s00209-021-02769-9OpenAlexW3165844347MaRDI QIDQ2070919

Andrew Putman, Daniel Studenmund

Publication date: 25 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01217

Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11Fxx) Linear algebraic groups and related topics (20Gxx) Connections of group theory with homological algebra and category theory (20Jxx)

Related Items

The Steinberg representation is irreducible, A new approach to twisted homological stability with applications to congruence subgroups, Stability in the high-dimensional cohomology of congruence subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Survey article: an elementary illustrated introduction to simplicial sets
• The codimension-one cohomology of \(\mathrm{SL}_n\mathbb{Z}\)
• The modular symbol and continued fractions in higher dimensions
• The Steinberg module and the cohomology of arithmetic groups
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Homological stability for automorphism groups
• Stable real cohomology of arithmetic groups
• Non‐integrality of some Steinberg modules
• Integrality in the Steinberg module and the top-dimensional cohomology of SLn OK
• Introduction to Algebraic K-Theory. (AM-72)
• On the homology and cohomology of congruence subgroups
• On the cohomology of linear groups over imaginary quadratic fields