Moszkowski, Paul Généralisation d’une formule de Solomon relative à l’anneau de groupe d’un groupe de Coxeter. (A generalization of a formula due to Solomon concerning the group ring of a Coxeter group). (French) Zbl 0713.20006 C. R. Acad. Sci., Paris, Sér. I 309, No. 8, 539-541 (1989). Summary: A class of modules in the group ring of a Coxeter group is exhibited, whose ring of operators is Solomon’s ring. We prove that the corresponding structure coefficients are non negative integers and give an explicit formula for them. Cited in 3 Documents MSC: 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) 20F55 Reflection and Coxeter groups (group-theoretic aspects) Keywords:modules; group ring; Coxeter group; ring of operators; Solomon’s ring PDFBibTeX XMLCite \textit{P. Moszkowski}, C. R. Acad. Sci., Paris, Sér. I 309, No. 8, 539--541 (1989; Zbl 0713.20006)