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.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- American Mathematical Monthly
- Publisher
- Informa UK Limited
- Volume
- 133
- Issue
- 2
- Pages
- 128–140
- Publication date
- 9 January 2026
- Language
- EN