On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups
On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups
The principal objects studied in this note are infinite, non-affine Coxeter groups W. A well-known result of de la Harpe asserts that such groups have exponential growth. We study the growth type of quotients of W by parabolic subgroups and by a certain class of reflection subgroups. Our main result …