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The low-dimensional homology of finite-rank Coxeter groups

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 نشر من قبل Rachael Boyd
 تاريخ النشر 2018
  مجال البحث
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 تأليف Rachael Boyd




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We give formulas for the second and third integral homology of an arbitrary finitely generated Coxeter group, solely in terms of the corresponding Coxeter diagram. The first of these calculations refines a theorem of Howlett, while the second is entirely new and is the first explicit formula for the third homology of an arbitrary Coxeter group.



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