
A vanishing theorem for the plocal homology of Coxeter groupsA vanishing theorem for the plocal homology of Coxeter groups 
"/Akita, Toshiyuki/"Akita, Toshiyuki
48pp.945

956 , 201612 , Wiley
ISSN:00246093
Description
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 plocal homology groups Hk(W, Z((p))) vanish for 1 <= k <= 2(p  2). This generalizes a known vanishing result for symmetric groups due to Minoru Nakaoka.
FullText
https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67762/1/coxeterplocalfinal.pdf