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

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.

arXiv commentarXiv admin note: text overlap with arXiv:1806.07045

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Cited by in corpus (2)

• Finite groups isospectral to simple groups
• On the prime graph of a finite group with unique nonabelian composition factor