3 papers
math.GR2026
The symmetric groups , and finite non-abelian simple groups are not embeddable in any Riordan group
Tian-Xiao He, Nikolai A. Krylov
We prove that the symmetric group of degree greater than three cannot be embedded into the Riordan group with coefficients in any commutative ring. We also prove the impossibility…
math.GR2025
Lower central series of the Riordan group over the field with two elements
Nikolai A. Krylov
The Riordan group over the field is a split extension of the Appell subgroup by the Nottingham group . Using the lower central s…
math.GR2025
On embeddability of Coxeter groups into the Riordan group
Tian-Xiao He, Nikolai A. Krylov
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 re…