Structure of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group

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2025年1月29日

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A. Kh. Zhurtov,
D. V. Lytkina,
V. D. Mazurov

摘要

We prove that every solvable chief factor of a finite group whose setof element orders coincides with that of the automorphism group ofthe second sporadic Janko group is a 2-group of order $ 2^{4} $ , $ 2^{6} $ , or $ 2^{20} $ .