N. Maslova

activity

20162023

most citedCriterion of unrecognizability of a finite group by its Gruenberg-Kegel graph

28 citations · 62 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.GR2023

Finite simple groups with two maximal subgroups of coprime orders

N. V. Maslova

In 1962, V.A. Belonogov proved that if a finite group $G$ contains two maximal subgroups of coprime orders, then either $G$ is one of known solvable groups or $G$ is simple. In thi…

math.GR2023

Aspects of the commuting graph

V. Arvind, Xuanlong Ma, Peter J. Cameron +1

The commuting graph of a group $G$ is the graph whose vertices are the elements of $G$ , two distinct vertices joined if they commute. Our purpose in this paper is twofold: we discu…

math.GR2023

On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type

Natalia V. Maslova, Viktor V. Panshin, Alexey M. Staroletov

The Gruenberg-Kegel graph $Γ (G)$ 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 adjace…