3 citations · 4 across the 4 of their papers we have counts for
4 papers
Equivalence of the categories of group triples and of hypergroups over the group
Samuel Dalalyan
The main result of this paper is that the categories of (right) hypergroups over the group and of triples, consisting of a group, its subgroup and a (right) transversal to this sub…
Structures induced on transversals to a subgroup of a group and hypergroups over the group
Samuel H. Dalalyan
On the transversals of a subgroup of a group, using the binary operation of the group, structural mappings are defined. Based on these mappings, the notion of the hypergroup over t…
An algorithm for determining the irreducible polynomials over finite fields
Samuel H. Dalalyan
We propose an algorithm for determining the irreducible polynomials over finite fields, based on the use of the companion matrix of polynomials and the generalized Jordan normal fo…
Hypergroups over the group and generalizations of Schreier's theorem on group extensions
Samuel H. Dalalyan
Let be a group, be a positive integer, be the set of all isomorphic in classes of group monomorphisms such that index of in is…