9 citations · 30 across the 31 of their papers we have counts for
10 papers · 1 filter
Notes on -groups
Ilia Ponomarenko, Grigory Ryabov
Following Wielandt, a finite group is called a -group (Burnside group) if every primitive group containing a regular subgroup isomorphic to is doubly transitive. Using a…
On schurity of dihedral groups
Grigory Ryabov
A finite group is called a Schur group if every -ring over is schurian, i.e. associated in a natural way with a subgroup of that contains all right translations…
On generalized Schur groups
Grigory Ryabov
An -ring (Schur ring) is called central if it is contained in the center of the group ring. We introduce the notion of a generalized Schur group, i.e. such finite group that all…
On nilpotent Schur groups
Grigory Ryabov
A finite group is called a Schur group if every -ring over is schurian, i.e. associated in a natural way with a subgroup of $\sym(G)$ that contains all right translation…
On Cayley representations of central Cayley graphs over almost simple groups
Jin Guo, Wenbin Guo, Grigory Ryabov +1
A Cayley graph over a group is said to be central if its connection set is a normal subset of . We prove that every central Cayley graph over a simple group has at most…
On separable Schur rings over abelian groups
Grigory Ryabov
A finite group is said to be weakly separable if every algebraic isomorphism between two -rings over this group is induced by a combinatorial isomorphism. In the paper we prove…
On separable abelian -groups
Grigory Ryabov
An -ring (a Schur ring) is said to be separable with respect to a class of groups if every algebraic isomorphism from the -ring in question to an -ring over…
Abelian Schur groups of odd order
Ilia Ponomarenko, Grigory Ryabov
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. It is proved…
On Schur p-groups of odd order
Grigory Ryabov
A finite group is called a Schur group if any -ring over is associated in a natural way with a subgroup of that contains all right translations. We prove that t…
On Schur 3-groups
Grigory Ryabov
Let be a finite group. If is a permutation group with and is the set of orbits of the stabilizer of the identity in ,…