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arXiv · 1907.13479

On the nilpotency of the solvable radical of a finite group isospectral to a simple group

Nanying Yang·Mariya A. Grechkoseeva·Andrey V. Vasil'ev
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Abstract

We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific exception the solvable radical of a nonsolvable finite group isospectral to a finite simple group is nilpotent.

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Nanying Yang, Mariya A. Grechkoseeva, Andrey V. Vasil'ev. 2019-07-30. On the nilpotency of the solvable radical of a finite group isospectral to a simple group. https://doi.org/10.1515/jgth-2019-0109

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