Geodesic
On finite groups isospectral to the simple group $S_4(3)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1561-1566

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The spectrum of a finite group is the set of its element orders. A finite group $G$ is called critical with respect to a subset $\omega$ of natural numbers if $\omega$ coincides with the spectrum of $G$ and does not coincide with the spectra of proper sections of $G$. We study the structure of finite groups with the same spectrum as the simple symplectic group $PSp(4, 3)$. In particular, we describe groups critical with respect to the spectrum of $PSp(4, 3)$.
Keywords: finite group, spectrum, critical group, nonabelian simple group. 
@article{SEMR_2019_16_a26,
     author = {Yuri V. Lytkin},
     title = {On finite groups isospectral to the simple group $S_4(3)$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1561--1566},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a26/}
}
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Yuri V. Lytkin. On finite groups isospectral to the simple group $S_4(3)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1561-1566. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a26/