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Finite Almost Simple Groups Whose Gruenberg–Kegel Graphs Coincide with Gruenberg–Kegel Graphs of Solvable Groups

Authors
  • Gorshkov, I. B.
  • Maslova, N. V.
Type
Published Article
Journal
Algebra and Logic
Publisher
Springer US
Publication Date
Jun 01, 2018
Volume
57
Issue
2
Pages
115–129
Identifiers
DOI: 10.1007/s10469-018-9484-7
Source
Springer Nature
Keywords
License
Yellow

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.

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