Email this article Finite Almost Simple Groups Whose Gruenberg–Kegel Graphs Coincide with Gruenberg–Kegel Graphs of Solvable Groups
- Authors: Gorshkov I.B.1, Maslova N.V.2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
- El’tsyn Ural Federal University
- Issue: Vol 57, No 2 (2018)
- Pages: 115-129
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234079
- DOI: https://doi.org/10.1007/s10469-018-9484-7
- ID: 234079
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Abstract
It is shown that the Gruenberg–Kegel graph of a finite almost simple group is equal to the Gruenberg–Kegel graph of some finite solvable group iff it does not contain 3-cocliques. Furthermore, we obtain a description of finite almost simple groups whose Gruenberg–Kegel graphs contain no 3-cocliques.
About the authors
I. B. Gorshkov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
Author for correspondence.
Email: ilygor8@gmail.com
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
N. V. Maslova
El’tsyn Ural Federal University
Email: ilygor8@gmail.com
Russian Federation, ul. Mira 19, Yekaterinburg, 620002
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