Journal Article A vanishing theorem for the p-local homology of Coxeter groups

Akita, Toshiyuki

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Given an odd prime number p and a Coxeter group W such that the order of the product st is prime to p for all Coxeter generators s, t of W, we prove that the p-local homology groups H-k(W, Z((p))) vanish for 1 <= k <= 2(p - 2). This generalizes a known vanishing result for symmetric groups due to Minoru Nakaoka.
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https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67762/1/coxeter-p-local-final.pdf

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