N. Krylov

collaborators

2 papers

math.GR2025

Lower central series of the Riordan group over the field with two elements

Nikolai A. Krylov

The Riordan group $R$ over the field $F_{2}$ is a split extension of the Appell subgroup by the Nottingham group $N (F_{2})$ . Using the lower central s…

math.GR2025

The symmetric groups $S_{n}, n \geq 4$ , 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…

Lower central series of the Riordan group over the field with two elements

The symmetric groups Sn​,n≥4, and finite non-abelian simple groups are not embeddable in any Riordan group

The symmetric groups $S_{n}, n \geq 4$ , and finite non-abelian simple groups are not embeddable in any Riordan group