Abstract
The spectrum of a finite group is the set of all its element orders. A finite group G is called critical with respect to a subset ω of natural numbers, if ω coincides with the spectrum of G and does not coincide with the spectrum of any proper section of G. We study the structure of groups isospectral to a simple unitary group PSU(3, 3). In particular, we give a description of the finite groups critical with respect to the spectrum of PSU(3, 3).
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Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 4, pp. 813–827, July–August, 2017
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Lytkin, Y.V. On finite groups isospectral to U 3(3). Sib Math J 58, 633–643 (2017). https://doi.org/10.1134/S0037446617040097
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DOI: https://doi.org/10.1134/S0037446617040097