4 papers
Generating the symmetric group by three prefix reversals
Saúl A. Blanco, Mikhail P. Golubyatnikov, Elena V. Konstantinova +2
The cubic pancake graphs are Cayley graphs over the symmetric group generated by three prefix reversals. There is the following open problem: characterize all the…
On characterization of groups by isomorphism type of Gruenberg-Kegel graph
Mingzhu Chen, Natalia V. Maslova, Marianna R. Zinov'eva
The Gruenberg-Kegel graph (or the prime graph) of a finite group is the graph whose vertex set is the set of prime divisors of and in which two distinct vertices $…
On combinatorial properties of Gruenberg--Kegel graphs of finite groups
Mingzhu Chen, Ilya B. Gorshkov, Natalia V. Maslova +1
If is a finite group, then the spectrum is the set of all element orders of . The prime spectrum is the set of all primes belonging to . A simple graph $…
On arithmetical properties and arithmetical characterizations of finite groups
Natalia V. Maslova
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.…