×

The homological algebra of Artin groups. (English) Zbl 0839.20065

The author’s purpose is to give the foundations for a purely algebraic treatment of the homological algebra of Artin groups. The author gives algebraic proofs of the following theorems: Theorem A. Let \(G\) be an Artin group whose associated Coxeter group is finite. Then \(G\) is of type \(FL\). Theorem \(B\). Let \(G\) be as in Theorem A. Then \(G\) is a duality group.

MSC:

20J05 Homological methods in group theory
20F36 Braid groups; Artin groups
20F55 Reflection and Coxeter groups (group-theoretic aspects)
PDFBibTeX XMLCite
Full Text: DOI EuDML