8 citations · 15 across the 6 of their papers we have counts for
5 papers · 1 filter
On Schur 2-groups
Mikhail Muzychuk, Ilya Ponomarenko
A finite group is called a Schur group, if any Schur ring over is the transitivity module of a point stabilizer in a subgroup of $\sym(G)$ that contains all right translati…
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 non-abelian Schur groups
Ilya Ponomarenko, Andrey Vasil'ev
A finite group G is called Schur, if every Schur ring over G is associated in a natural way with a regular subgroup of Sym(G) that is isomorphic to G. We prove that any nonabelian…
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…