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pro vyhledávání: '"Maslova, Natalia V."'
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:
Maslova, Natalia V.
Arithmetical properties of a finite group are properties of the group which are defined by its arithmetical parameters such as the order of the group, the element orders and so on. In this paper, we discuss a number of results on arithmetical propert
Externí odkaz:
http://arxiv.org/abs/2401.04633
Given a finite group $G$, the commuting graph of $G$ is the simple graph whose vertex set is $G$, and two distinct vertices are adjacent if they commute. In this paper, we classify all finite groups whose commuting graph is split and threshold. We al
Externí odkaz:
http://arxiv.org/abs/2305.07301
The Gruenberg-Kegel graph $\Gamma(G)$ of a finite group $G$ is the graph whose vertex set is the set of prime divisors of $|G|$ and in which two distinct vertices $r$ and $s$ are adjacent if and only if there exists an element of order $rs$ in $G$. A
Externí odkaz:
http://arxiv.org/abs/2301.13762
Autor:
Cameron, Peter J., Maslova, Natalia V.
Publikováno v:
Journal of Algebra, Volume 607, Part A, 1 October 2022, Pages 186-213
The Gruenberg-Kegel graph $\Gamma(G)$ associated with a finite group $G$ has as vertices the prime divisors of $|G|$, with an edge from $p$ to $q$ if and only if $G$ contains an element of order $pq$. This graph has been the subject of much recent in
Externí odkaz:
http://arxiv.org/abs/2012.01482
A subgroup $H$ of a group $G$ is said to be {pronormal} in $G$ if $H$ and $H^g$ are conjugate in $\langle H, H^g \rangle$ for every $g \in G$. Some problems in finite group theory, combinatorics, and permutation group theory were solved in terms of p
Externí odkaz:
http://arxiv.org/abs/1807.00384
Autor:
Cameron, Peter J., Maslova, Natalia V.
Publikováno v:
In Journal of Algebra 1 October 2022 607 Part A:186-213
A subgroup $H$ of a group $G$ is said to be pronormal in $G$ if $H$ and $H^g$ are conjugate in $\langle H, H^g\rangle$ for every element $g \in G$. In [Sib. Math. J. 2015. Vol. 56, no. 6] we proved that subgroups of odd indeces are pronormal in many
Externí odkaz:
http://arxiv.org/abs/1610.01067
Autor:
Gorshkov, Ilya B., Maslova, Natalia V.
In this paper we describe all the finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of finite solvable groups.
Comment: 11 pages, in Russian, English abstract; to appear in Algebra and logic
Comment: 11 pages, in Russian, English abstract; to appear in Algebra and logic
Externí odkaz:
http://arxiv.org/abs/1606.01402
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