Squier, Craig C. The homological algebra of Artin groups. (English) Zbl 0839.20065 Math. Scand. 75, No. 1, 5-43 (1994). 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. Reviewer: A.M.Akimenkov (Krasnogorsk) Cited in 16 Documents MSC: 20J05 Homological methods in group theory 20F36 Braid groups; Artin groups 20F55 Reflection and Coxeter groups (group-theoretic aspects) Keywords:homological algebra; Artin groups; Coxeter groups; duality group PDFBibTeX XMLCite \textit{C. C. Squier}, Math. Scand. 75, No. 1, 5--43 (1994; Zbl 0839.20065) Full Text: DOI EuDML