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A criterion for p-nilpotency and p-closedness by the sum of element orders
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-07-15 , DOI: 10.1080/00927872.2020.1788571
Morteza Baniasad Azad 1 , Behrooz Khosravi 1
Affiliation  

Abstract Let G be a finite group, and where o(g) denotes the order of g. In this paper, we prove that if p is a prime number and then where is cyclic. In addition, G is supersolvable and

中文翻译:

元素阶数总和的 p-幂零性和 p-闭合性标准

摘要 设G为有限群,其中o(g)表示g的阶。在本文中,我们证明如果 p 是素数,那么 where 是循环的。此外,G 是可超解的,并且
更新日期:2020-07-15
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