On embeddability of Coxeter groups into the Riordan group

Abstract

We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three.

17 pages. We added a section where we considered the Riordan group over the ring of integers modulo n