Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Yang, Nanying"'
Autor:
Yang, Nanying, Gorshkov, Ilya
Let $G$ be a finite group and $N(G)$ be the set of its conjugacy class sizes excluding~$1$. Let us define a directed graph $\Gamma(G)$, the set of vertices of this graph is $N(G)$ and the vertices $x$ and $y$ are connected by a directed edge from $x$
Externí odkaz:
http://arxiv.org/abs/2404.12697
If $G$ is a finite group, then the spectrum $\omega(G)$ is the set of all element orders of $G$. The prime spectrum $\pi(G)$ is the set of all primes belonging to $\omega(G)$. A simple graph $\Gamma(G)$ whose vertex set is $\pi(G)$ and in which two d
Externí odkaz:
http://arxiv.org/abs/2401.04789
Autor:
Yang, Nanying
Power devices play key roles in the power electronics applications. In order for the power electronics designers to fully utilize the performance advantages of power devices, compact power device models are needed in the circuit simulator (Saber, P-s
Externí odkaz:
http://hdl.handle.net/10919/29643
http://scholar.lib.vt.edu/theses/available/etd-11172010-152300/
http://scholar.lib.vt.edu/theses/available/etd-11172010-152300/
Publikováno v:
Commun. Math. Stat. vol.11, 169-194 (2023)
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the reco
Externí odkaz:
http://arxiv.org/abs/2111.15198
Publikováno v:
Sib. Math. J. 63, 387-394 (2022)
Let $\pi$ be a proper subset of the set of all primes. Denote by $r$ the smallest prime which does not belong to $\pi$ and set $m = r$ if $r = 2$ or $3$ and $m = r-1$ if $r \geqslant 5$. We study the following conjecture: a conjugacy class $D$ of a f
Externí odkaz:
http://arxiv.org/abs/2111.09066
Publikováno v:
Mat. Sb., 214:1 (2023), 113-154
Let $\pi$ be a set of primes such that $|\pi|\geqslant 2$ and $\pi$ differs from the set of all primes. Denote by $r$ the smallest prime which does not belong to $\pi$ and set $m=r$ if $r=2,3$ and $m=r-1$ if $r\geqslant 5$. We study the following con
Externí odkaz:
http://arxiv.org/abs/2105.02442
Publikováno v:
Israel Journal of Mathematics 2021
In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the $\pi$-radical of a finite group, where $\pi$ is a set of primes
Externí odkaz:
http://arxiv.org/abs/1911.11939
Autor:
Yang, Nanying, Staroletov, Alexey
Denote the alternating and symmetric groups of degree $n$ by $A_n$ and $S_n$ respectively. Consider a permutation $\sigma\in S_n$ all of whose nontrivial cycles are of the same length. We find the minimal polynomials of $\sigma$ in the ordinary irred
Externí odkaz:
http://arxiv.org/abs/1911.06049
Publikováno v:
J. Group Theory, 2020, Vol. 23, no. 3, 447-470
We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific exception the solvable radical of a nonsolvable finite group isospectr
Externí odkaz:
http://arxiv.org/abs/1907.13479
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