论文标题

具有非简单socle的群体的表征

Characterization of groups with non-simple socle

论文作者

Gorshkov, Ilya

论文摘要

有限组的频谱是其元素订单的集合。我们证明,如果$ m> 5 $,则组$ l_ {2^m}(2)\ times l_ {2^m}(2)(2)\ times l_ {2^m}(2)$由其在有限组类别的频谱中唯一确定

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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