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

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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Veröffentlicht in:	Algebra and logic 2018-06, Vol.57 (2), p.115-129
Hauptverfasser:	Gorshkov, I. B., Maslova, N. V.
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Sprache:	eng
Schlagworte:	Algebra Analysis Graph theory Graphs Groups (Mathematics) Mathematical Logic and Foundations Mathematics Mathematics and Statistics
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description	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.
doi_str_mv	10.1007/s10469-018-9484-7
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title	Finite Almost Simple Groups Whose Gruenberg–Kegel Graphs Coincide with Gruenberg–Kegel Graphs of Solvable Groups
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