The time complexity of some algorithms for generating the spectra of finite simple groups

Alexander Buturlakin

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arXiv · 2109.12929

The time complexity of some algorithms for generating the spectra of finite simple groups

Alexander Buturlakin

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Abstract

The spectrum $\omega(G)$ is the set of orders of elements of $G$. 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.

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Alexander Buturlakin. 2021-09-27. The time complexity of some algorithms for generating the spectra of finite simple groups. https://arxiv.org/abs/2109.12929

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