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On Recognition of \( L_{4}(q) \) and \( U_{4}(q) \) by Spectrum

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Abstract

Groups are said to be isospectral if they have the same sets of element orders. Suppose that \( L \) is a finite simple linear or unitary group of dimension 4 over a field of odd characteristic. We prove that every finite group isospectral to \( L \) is an almost simple group with socle \( L \).

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Funding

The authors were supported by the Russian Foundation for Basic Research (Grant 18–31–20011).

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  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    M. A. Grechkoseeva & M. A. Zvezdina

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  1. M. A. Grechkoseeva
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  2. M. A. Zvezdina
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Correspondence to M. A. Grechkoseeva.

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Grechkoseeva, M.A., Zvezdina, M.A. On Recognition of \( L_{4}(q) \) and \( U_{4}(q) \) by Spectrum. Sib Math J 61, 1039–1065 (2020). https://doi.org/10.1134/S0037446620060063

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