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21.95 (2026)

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Is there an almost simple but not simple group which is recognizable by the isomorphism type of its Gruenberg–Kegel graph (see 21.94)?

Contributor: N. V. Maslova

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Note that if a group $G$ is recognizable by the isomorphism type of its Gruenberg–Kegel graph, then $G$ is recognizable by its Gruenberg–Kegel graph, and therefore $G$ is almost simple (P. J. Cameron, N. V. Maslova, J. Algebra, 607 (2022), 186–213).

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