On the top-dimensional cohomology of arithmetic Chevalley groups

DOI10.1090/PROC/16948MaRDI QIDQ6602145

Robin J. Sroka, Benjamin Brück, Yuri Santos Rego

Publication date: 11 September 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Groups with a (BN)-pair; buildings (20E42) Cohomology of arithmetic groups (11F75)

Cites Work

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• The codimension-one cohomology of \(\mathrm{SL}_n\mathbb{Z}\)
• The modular symbol and continued fractions in higher dimensions
• Buildings of spherical type and finite BN-pairs
• On the Steinberg module of Chevalley groups.
• Symplectic modular symbols
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Sur certains groupes simples
• Lectures on Chevalley Groups
• Buildings
• On the Generalized Bykovskiĭ Presentation of Steinberg Modules
• Non‐integrality of some Steinberg modules
• Integrality in the Steinberg module and the top-dimensional cohomology of SLn OK
• Construction of Certain Semi-Simple Groups^*
• Introduction to Lie Algebras and Representation Theory
• On the homology and cohomology of congruence subgroups
• On the codimension-two cohomology of \(\mathrm{SL}_{n}(\mathbb{Z})\)

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