6 citations · 13 across the 7 of their papers we have counts for
5 papers · 1 filter
Coset closure of a circulant S-ring and schurity problem
Sergei Evdokimov, Ilya Ponomarenko
Let be a finite group. There is a natural Galois correspondence between the permutation groups containing as a regular subgroup, and the Schur rings (S-rings) over~. The…
Characterization of cyclic Schur groups
Sergei Evdokimov, István Kovács, Ilya Ponomarenko
A finite group is called a Schur group, if any Schur ring over is the transitivity module of a permutation group on the set containing the regular subgroup of all right…
Schurity of S-rings over a cyclic group and generalized wreath product of permutation groups
Sergei Evdokimov, Ilya Ponomarenko
The generalized wreath product of permutation groups is introduced. By means of it we study the schurity problem for S-rings over a cyclic group and the automorphism groups of…
Schur rings over a product of Galois rings
Sergei Evdokimov, Ilya Ponomarenko
The recently developed theory of Schur rings over a finite cyclic group is generalized to Schur rings over a ring R being a product of Galois rings of coprime characteristics. It i…
Normal cyclotomic schemes over a finite commutative ring
Sergei Evdokimov, Ilia Ponomarenko
We study cyclotomic association schemes over a finite commutative ring with identity. The main interest for us is to identify the normal cyclotomic schemes , i.e. those for…