SEMISTABILITY OF ARTIN AND COXETER GROUPS

Semistability at infinity is a geometric invariant for finitely presen ted groups. If G is a finitely presented group then the semistability of G can give information about the fundamental group at infinity for G, the cohomology of G, and the shape of the boundary of G. In [6], M. Davis exhibits Coxeter groups with somewhat pathological behavior at infinity. Our main theorems are that all Artin and all Coxeter groups are semistable at infinity.