【摘 要】
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A semidirect product G =F λ H of groups F and H is called a Frobenius group if the following two conditions are satisfied: (F1) H acts freely on F,that is,fh =
【机 构】
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School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China;Siberian State University of Tel
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A semidirect product G =F λ H of groups F and H is called a Frobenius group if the following two conditions are satisfied: (F1) H acts freely on F,that is,fh =f for f in F and h in H only if h =1 or f =1.(F2) Every non-identity element h ∈ H of finite order n induces in F by conjugation in G a splitting automorphism,that is,ffh...fhn-1 =1 for every f ∈ F;in other words,the order of fh-1 is equal to n.We describe the normal structure of a Frobenius group with periodic subgroup H generated by elements of order 3.
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