28 citations · 62 across the 12 of their papers we have counts for
13 papers
Finite simple groups with two maximal subgroups of coprime orders
N. V. Maslova
In 1962, V.A. Belonogov proved that if a finite group contains two maximal subgroups of coprime orders, then either is one of known solvable groups or is simple. In thi…
Aspects of the commuting graph
V. Arvind, Xuanlong Ma, Peter J. Cameron +1
The commuting graph of a group is the graph whose vertices are the elements of , two distinct vertices joined if they commute. Our purpose in this paper is twofold: we discu…
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 of a finite group is the graph whose vertex set is the set of prime divisors of and in which two distinct vertices and are adjace…
Characterization of groups and by Gruenberg--Kegel graph
A. P. Khramova, N. V. Maslova, V. V. Panshin +1
The Gruenberg--Kegel graph (or the prime graph) of a finite group is defined as follows. The vertex set of is the set of all prime divisors of the order of . T…
Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph
Peter J. Cameron, Natalia V. Maslova
The Gruenberg-Kegel graph associated with a finite group has as vertices the prime divisors of , with an edge from to if and only if contains an element…
On the Pronormality of Subgroups of Odd Index in some Direct Products of Finite Groups
N. V. Maslova, D. O. Revin
A subgroup of a group is said to be {\it pronormal} in if and are conjugate in for each . Some problems in Finite Group Theo…
Finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal
A. S. Kondrat'ev, N. V. Maslova, D. O. Revin
A subgroup of a group is said to be pronormal in if and are conjugate in for every . In this paper we classify finite simple…
The group is recognizable by spectrum
I. B. Gorshkov, N. V. Maslova
The spectrum of a finite group is the set of its element orders. In this paper we prove that the direct product of two copies of the finite simple sporadic group is uniquely…
On the Pronormality of Subgroups of Odd Index in Finite Simple Groups
Anatoly S. Kondrat'ev, Natalia V. Maslova, Danila O. Revin
A subgroup of a group is said to be {pronormal} in if and are conjugate in for every . Some problems in finite group theory,…
On strictly Deza graphs with parameters (n,k,k-1,a)
V. V. Kabanov, N. V. Maslova, L. V. Shalaginov
A nonempty -regular graph on vertices is called a Deza graph if there exist constants and such that any pair of distinct vertices of has precise…
Classification of Maximal Subgroups of Odd Index in Finite Simple Classical groups: Addendum
Natalia Maslova
A classification of maximal subgroups of odd index in finite simple groups was given by Liebeck and Saxl and, independently, Kantor in 1980s. In the cases of alternating groups or…
On the pronormality of subgroups of odd indices in finite simple symplectic groups
Anatoly S. Kondrat'ev, Natalia V. Maslova, Danila O. Revin
A subgroup of a group is said to be pronormal in if and are conjugate in for every element . In [Sib. Math. J. 2015. Vol. 56,…
Finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of solvable groups
Ilya B. Gorshkov, Natalia V. Maslova
In this paper we describe all the finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of finite solvable groups.