Let G be a finite group and N(G) the set of sizes of conjugacy classes of G. It is proved that if G is a finite group with trivial center and L is a finite simple group of exceptional Lie type, then G ≃ L whenever N(G) = N(L).
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The work was supported by the RFBR grant No. 17-51-04004, and the BRFFR grant No. F17RM-063.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 478, 2019, pp. 100–107.
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Gorshkov, I.B., Kaygorodov, I.B., Kukharev, A.V. et al. On Thompson’s Conjecture for Finite Simple Exceptional Groups of Lie Type. J Math Sci 247, 565–570 (2020). https://doi.org/10.1007/s10958-020-04820-2
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DOI: https://doi.org/10.1007/s10958-020-04820-2