Zobrazeno 1 - 10
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pro vyhledávání: '"Skuratovskii, Ruslan"'
Autor:
Skuratovskii, Ruslan
First time, we introduce Extended special linear group $ESL_2(F)$, which is generalization of matrix group $SL_2(F)$ over arbitrary field $F$. Extended special linear group $ESL_2(k)$, where $k$ is arbitrary perfect field, is storage of all square ma
Externí odkaz:
http://arxiv.org/abs/2307.13873
Autor:
Skuratovskii, Ruslan
Normal subgroups and there properties for finite and infinite iterated wreath products $S_{n_1}\wr \ldots \wr S_{n_m}$, $n, m \in \mathbb{N}$ are founded. The special classes of normal subgroups and there orders are investigated. Special classes of n
Externí odkaz:
http://arxiv.org/abs/2108.03752
This is a paper about triangle cubics and conics in classical geometry with elements of projective geometry. In recent years, N.J. Wildberger has actively dealt with this topic using an algebraic perspective. Triangle conics were also studied in deta
Externí odkaz:
http://arxiv.org/abs/2009.01946
The goal of this investigation is effective method of key exchange which based on non-commutative group $G$. The results of Ko et al. \cite{kolee} is improved and generalized. The size of a minimal generating set for the commutator subgroup of Sylow
Externí odkaz:
http://arxiv.org/abs/2002.10528
Autor:
Skuratovskii, Ruslan
Publikováno v:
ROMAI J., 13, Issue 1, (2017), p117-139
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 that the commutator width of such groups is 1 and we research some pr
Externí odkaz:
http://arxiv.org/abs/1903.08765
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2021. 2, 70(2), 721-739
Given a permutational wreath product sequence of cyclic groups we investigate its minimal generating set, minimal generating set for its commutator and some properties of its commutator subgroup. We strengthen the result of author \cite{SkVC, SkMal,
Externí odkaz:
http://arxiv.org/abs/1901.00061
Autor:
Skuratovskii, Ruslan
Publikováno v:
Sixth International Conference on Analytic Number Theory.(2018) 39. ages" Sixth International Conference on Analytic Number Theory and 11 Spatial Tessellations. Voronoy Conference" Book of abstracts. pp. 37- 39
We propose a lower estimation for computing quantity of the inverses of Euler's function. We answer the question about the multiplicity of $m$ in the equation $\varphi(x) = m$ \cite{Ford}. An analytic expression for exact multiplicity of $m = {{2}^{{
Externí odkaz:
http://arxiv.org/abs/1812.00067
Autor:
Skuratovskii, Ruslan
We consider algebraic affine and projective curves of Edwards \cite{E, SkOdProj} over a finite field $\text{F}_{p^n}$. Most cryptosystems of the modern cryptography \cite{SkBlock} can be naturally transform into elliptic curves \cite{Kob}. We researc
Externí odkaz:
http://arxiv.org/abs/1811.12544
Autor:
Skuratovskii, Ruslan
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. Commutator width of Sylow 2-subgroups of alternating group $A_{2^{k}}$, permut
Externí odkaz:
http://arxiv.org/abs/1712.01401
Autor:
Skuratovskii, Ruslan
In this article the investigation of Sylows p-subgroups of ${{A}_{n}}$ and ${{S}_{n}}$, which was started in article of U. Dmitruk, V. Suschansky "Structure of 2-sylow subgroup of symmetric and alternating group" and article of R.~Skuratovskii "Corep
Externí odkaz:
http://arxiv.org/abs/1702.05784