A characterizing property of CP-groups |
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| Authors: | A A Buturlakin R Shen W Shi |
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| Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk State University,Novosibirsk,Russia;2.Department of Mathematics,Hubei University for Nationalities,Enshi, Hubei Province,P. R. China;3.Department of Mathematics,Chongqing University of Arts and Sciences,Yongchuan, Chongqing,P. R. China |
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| Abstract: | Let G be a finite group. It is proved that if, for every prime p, the number of nonidentity p-elements of G is divisible by the p′-part of |G|, then all element orders of G are prime powers. |
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