Duke Mathematical Journal

The homology of a space on which a reflection group acts

Michael W. Davis
Source: Duke Math. J. Volume 55, Number 1 (1987), 97-104.
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Primary Subjects: 57S30
Secondary Subjects: 57R19
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077305881
Mathematical Reviews number (MathSciNet): MR932864
Zentralblatt MATH identifier: 0625.57020
Digital Object Identifier: doi:10.1215/S0012-7094-87-05506-2

References

[1] N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968.
Mathematical Reviews (MathSciNet): MR39:1590
Zentralblatt MATH: 0186.33001
[2] M. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983), no. 2, 293–324.
Mathematical Reviews (MathSciNet): MR86d:57025
Zentralblatt MATH: 0531.57041
Digital Object Identifier: doi:10.2307/2007079
[3] L. Solomon, A decomposition of the group algebra of a finite Coxeter group, J. Algebra 9 (1968), 220–239.
Mathematical Reviews (MathSciNet): MR38:1191
Zentralblatt MATH: 0186.04503
Digital Object Identifier: doi:10.1016/0021-8693(68)90022-7

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