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   the recognition of finite simple groups with no elements of order 10 by their element orders  
   
نویسنده he huaiyu ,shi wujie
منبع international journal of group theory - 2022 - دوره : 11 - شماره : 1 - صفحه:17 -22
چکیده    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.
کلیدواژه recognition ,spectrum ,simple group ,cover
آدرس shanghai university of political science and law, department of economics and management, china, chongqing university of arts and sciences, department of mathematics, china. suzhou university, school of mathematics, china
پست الکترونیکی shiwujie@outlook.com
 
     
   
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