8 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
The closures of wreath products in product action
I. Ponomarenko, A. V. Vasil'ev
Let be a positive integer and let be a finite set. The -closure of Sym is the largest permutation group on having the same orbits as in its induced ac…
The -closure of a solvable permutation group is solvable
E. A. O'Brien, I. Ponomarenko, A. V. Vasil'ev +1
Let be a positive integer and let be a finite set. The -closure of is the largest permutation group on having the same orbits as in…
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…
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…