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

NV Maslova, VV Panshin, AM Staroletov - European Journal of …, 2023 - Springer
Abstract The Gruenberg–Kegel graph (or the prime 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 …

Recognisability of the sporadic groups by the isomorphism types of their prime graphs

M Lee, T Popiel - arXiv preprint arXiv:2310.10113, 2023 - arxiv.org
The prime graph of a finite group $ G $ is the labelled graph $\Gamma (G) $ with vertices the
prime divisors of $| G| $ and edges the pairs $\{p, q\} $ for which $ G $ contains an element …

On arithmetical properties and arithmetical characterizations of finite groups

NV Maslova - arXiv preprint arXiv:2401.04633, 2024 - arxiv.org
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 …

[PDF][PDF] On characterization of a finite group by its Gruenberg-Kegel graph

NV Maslova - 2022 - dipmat2.unisa.it
On characterization of a finite group by its Gruenberg-Kegel graph Page 1 On characterization
of a finite group by its Gruenberg-Kegel graph Natalia V. Maslova NN Krasovskii Institute of …