Perfect models for finite Coxeter groups

A model for a finite group is set of linear characters subgroups that can be induced to obtain every irreducible character exactly once. perfect Coxeter in which the relevant are quasiparabolic centralizers involutions. In prior work, we showed models give rise interesting examples W-graphs. Here, classify groups have models. Specifically, prove with those types An, Bn, D2n+1, H3, or I2(n). We also show up natural form equivalence, outside A3, and each has at most one model. Along way, technical result about representations groups, namely, induction from standard parabolic corank least two never multiplicity-free.