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A new proof of a theorem of Solomon-Tits

Authors: C. W. Curtis and G. I. Lehrer
Journal: Proc. Amer. Math. Soc. 85 (1982), 154-156
MSC: Primary 20G40; Secondary 20C15
MathSciNet review: 652431
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Abstract: Let $ \Delta $ be the combinatorial building of a finite group of Lie type $ G$. A new proof is given of the theorem of Solomon-Tits on the $ G$-module structure of the rational homology $ {H_* }(\Delta )$ of $ \Delta $.

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Keywords: Tits system, combinatorial building, Coxeter complex, homology representation
Article copyright: © Copyright 1982 American Mathematical Society