5 citations · 10 across the 11 of their papers we have counts for
11 papers
Extended Special Linear group and square roots in matrix groups , , ,
Ruslan Skuratovskii
First time, we introduce Extended special linear group , which is generalization of matrix group over arbitrary field . Extended special linear group $ESL_2(…
Normal subgroups of iterated wreath products of symmetric groups and alternating with symmetric groups
Ruslan Skuratovskii
Normal subgroups and there properties for finite and infinite iterated wreath products , are founded. The special classes of no…
Commutator subgroups of Sylow 2-subgroups of alternating group and Miller-Moreno groups as bases of new Key Exchange Protocol
Ruslan V. Skuratovskii, Aled Williams
The goal of this investigation is effective method of key exchange which based on non-commutative group . The results of Ko et al. \cite{kolee} is improved and generalized. The…
Minimal generating set of Sylow 2-subgroups commutator subgroup of alternating group. Commutator width in Sylow -subgroups of alternating, symmetric groups and in the wreath product of groups
Ruslan Skuratovskii
The size of minimal generating set for commutator of Sylow 2-subgroup of alternating group was found. Given a permutational wreath product of finite cyclic groups sequence we prove…
Commutators of Sylow subgroups of alternating and symmetric groups, commutator width in the wreath product of groups
R. V. Skuratovskii
This paper investigate bounds of the commutator width \cite {Mur} of a wreath product of two groups. The commutator width of direct limit of wreath product of cyclic groups are fou…
The investigation of Euler's totient function preimages
Ruslan Skuratovskii
We propose a lower estimation for computing quantity of the inverses of Euler's function. We answer the question about the multiplicity of in the equation \cite{Ford…
Edwards curve point counting method and supersingular Edwards and Montgomery curves
Ruslan Skuratovskii
We consider algebraic affine and projective curves of Edwards \cite{E, SkOdProj} over a finite field . Most cryptosystems of the modern cryptography \cite{SkBlock}…
The commutator and centralizer description of Sylow 2-subgroups of alternating and symmetric groups
Ruslan Skuratovskii
Given a permutational wreath product sequence of cyclic groups of prime order we research a commutator width of such groups and some properties of its commutator subgroup. Commutat…
Structure and minimal generating sets of Sylow 2-subgroups of alternating groups, properties of its commutator subgroup
Ruslan Skuratovskii
In this article the investigation of Sylows p-subgroups of and , which was started in article of U. Dmitruk, V. Suschansky "Structure of 2-sylow subgroup of…
Structure, minimal generating systems and properties of Sylow 2-subgroups of alternating group
Ruslan Skuratovskii
The background of this paper is the following: search of the minimal systems of generators for this class of group which still was not founded also problem of representation for th…
Minimal generating systems and properties of Sylow 2-subgroups of alternating group
Ruslan Skuratovskii
The background of this paper is the following: search of the minimal systems of generators for this class of group which still was not founded also problem of representation for th…