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arXiv · 2011.15088

Characterization of groups with non-simple socle

Ilya Gorshkov
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Abstract

The spectrum of a finite group is a set of its element orders. We prove that if $m>5$ then the group $L_{2^m}(2)\times L_{2^m}(2)\times L_{2^m}(2)$ is uniquely determined by its spectrum in the class of finite groups

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Ilya Gorshkov. 2020-11-30. Characterization of groups with non-simple socle. https://arxiv.org/abs/2011.15088

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