|تعداد مشاهده مقاله||26,036,358|
|تعداد دریافت فایل اصل مقاله||10,697,772|
The recognition of finite simple groups with no elements of order $10$ by their element orders
|International Journal of Group Theory|
|دوره 11، شماره 1، خرداد 2022، صفحه 17-22 اصل مقاله (187.35 K)|
|نوع مقاله: Research Paper|
|شناسه دیجیتال (DOI): 10.22108/ijgt.2021.124142.1640|
|Huaiyu He1؛ Wujie Shi* 2|
|1Department of Economics and Management, Shanghai University of Political Science and Law, Shanghai 201701, China|
|2Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing 402160, China3School of Mathe- matics, Suzhou University, Suzhou 215006, China|
|The spectrum of a finite group is the set of its element orders. $H$ is said to be a finite cover of $G$ if $G$ is a homomorphic image of $H$ and $H$ is finite. The main aim of this article is to characterize the finite simple groups with no elements of order 10 by its spectrum among covers. At the same time, above simple groups are completely classified. At last, some results on the recognition by spectrum of above groups are also achieved.|
|recognition؛ spectrum؛ simple group؛ cover|
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