A New Proof of a Theorem of Solomon-Tits

DOI10.2307/2044270zbMath0497.20041OpenAlexW4239448647MaRDI QIDQ3961660

Charles W. Curtis, Gustav Isaac Lehrer

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044270

zbMATH Keywords

parabolic subgroupshomologyTits systemSteinberg representationTits building

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10)

Related Items (6)

Representations of finite groups ⋮ The Steinberg representation ⋮ On the homological construction of the Steinberg representation ⋮ A note on a theorem of Solomon-Tits ⋮ The spherical building and regular semisimple elements ⋮ The split building of a reductive group

Cites Work

• Spherical buildings and the character of the Steinberg representation
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• Homology representations of finite groups of Lie type
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