Resumen de Strong Reflection Rigidity of Coxeter Systems of Dihedral Groups

Tetsuya Hosaka

• In this paper, we study strong rigidity and strong reflection rigidity of Coxeter systems of dihedral groups. We show that the Coxeter system of the dihedral group Dn of order 2n is strongly reflection rigid if and only if n?{2,3,4,6}, and that the dihedral Coxeter group Dn is strongly rigid if and only if n?{3,4}.