Correction to: ``The cohomology of a Coxeter group with group ring coefficients'' (Q1974872)
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scientific article; zbMATH DE number 1425167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Correction to: ``The cohomology of a Coxeter group with group ring coefficients'' |
scientific article; zbMATH DE number 1425167 |
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Correction to: ``The cohomology of a Coxeter group with group ring coefficients'' (English)
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27 March 2000
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In Remark 5.8 on pages 309-310 of [\textit{M. W. Davis}, ibid. 91, No. 2, 297-314 (1998; see the preceding review Zbl 0995.20022)], the author states, ``It follows easily from Theorem A that if \(L(W,S)\) is a Cohen-Macaulay complex of dimension \((n-1)\), then \(W\) is a virtual duality group of dimension \(n\)''. Here the author shows that a further hypothesis is required for \(L(W,S)\), for \(W\) to be a virtual duality group of dimension \(n\). Moreover, he gives an example showing that not every Cohen-Macaulay complex satisfies the further hypothesis.
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Cohen-Macaulay complexes
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virtual duality groups
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