Geodesic
The time complexity of some algorithms for generating the spectra of finite simple groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 101-108.

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The spectrum $\omega(G)$ is the set of orders of elements of a finite group $G$. We consider the problem of generating the spectrum of a finite nonabelian simple group $G$ given by the degree of $G$ if $G$ is an alternating group, or the Lie type, Lie rank and order of the underlying field if $G$ is a group of Lie type.
Keywords: spectrum, finite simple group, algorithm, time complexity. 
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A. A. Buturlakin. The time complexity of some algorithms for generating the spectra of finite simple groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 101-108. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a3/

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