Non‐integrality of some Steinberg modules

DOI10.1112/topo.12132zbMath1452.11065arXiv1810.07683OpenAlexW3100464333MaRDI QIDQ5108891

Jeremy Miller, Peter Patzt, Dan Yasaki, Jennifer C. H. Wilson

Publication date: 6 May 2020

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07683

zbMATH Keywords

Steinberg modulesintegral apartment classesquadratic imaginary number rings

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Simplicial sets and complexes in algebraic topology (55U10) Cohomology of arithmetic groups (11F75) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (5)

The Steinberg representation is irreducible ⋮ Improved homological stability for certain general linear groups ⋮ On the top-dimensional cohomology groups of congruence subgroups of \(\operatorname{SL}(n,\mathbb{Z})\) ⋮ 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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