5 papers
The Cayley isomorphism property for the group
Grigory Ryabov
A finite group is called a DCI-group if two Cayley digraphs over are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that th…
Separability of Schur rings over abelian groups of odd order
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…
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…
Separability of Schur rings over an abelian group of order 4p
Grigory Ryabov
An -ring (a Schur ring) is said to be separable with respect to a class of groups if every its algebraic isomorphism to an -ring over a group from …
-property for decomposable Schur rings over an abelian group
István Kovács, Grigory Ryabov
A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient cond…