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20172020
most citedThe commutator and centralizer description of Sylow 2-subgroups of alternating and symmetric groups

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.GR2020

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…

math.GR2019

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…

math.GR2018

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…

math.NT2018

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…

math.NT2018

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}…

math.GR20171 cited

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…