论文信息 - Right-angled Artin groups are commensurable with right-angled Coxeter groups

Right-angled Artin groups are commensurable with right-angled Coxeter groups

Abstract For each right-angled Artin group there is a right-angled Coxeter group which contains it as a subgroup of finite index. A corollary is that right-angled Artin groups are linear.

Tadeusz Januszkiewicz | T. Januszkiewicz | Michael W. Davis

[1] Noel Brady,et al. Morse theory and finiteness properties of groups , 1997 .

[2] N. Brady,et al. Connectivity at infinity for right angled Artin groups , 2000 .

[3] Michael W. Davis. Groups Generated by reflections and aspherical manifolds not covered by Euclidean space , 1983 .

[4] Michael W. Davis. Nonpositive Curvature and Reflection Groups , 2001 .

[5] Ruth Charney,et al. Finite K (π, 1)s for Artin Groups , 1996 .

[6] Nicolas Bourbaki,et al. Groupes et algèbres de Lie , 1971 .