6 citations · 13 across the 7 of their papers we have counts for
11 papers
A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups
Sergei Evdokimov, Mikhail Muzychuk, Ilia Ponomarenko
Given a prime , we construct a permutation group containing at least non-conjugated regular elementary abelian subgroups of order . This gives the first example o…
On separability problem for circulant S-rings
Sergei Evdokimov, Ilya Ponomarenko
A Schur ring (S-ring) over a group is called separable if every of its similaritities is induced by isomorphism. We establish a criterion for an S-ring to be separable in the c…
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…
On schurity of finite abelian groups
Sergei Evdokimov, István Kovács, Ilya Ponomarenko
A finite group is called a Schur group, if any Schur ring over is associated in a natural way with a subgroup of that contains all right translations. Recently, th…
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…