On the Structure of Certain Factorizable Groups. Ii
نویسندگان
چکیده
1. In [3], we have shown that in a finite ZP-group G in which A and B are cyclic and A is its own normalizer, the commutator subgroup T of G is cyclic and G = AT with AC\T= I. This result can be used to determine the structure of arbitrary ZP-groups in which A and B are cyclic. If A is a subgroup of a group G, define the subgroup Ni(A) of G inductively by the formula Ni(A)=No(Ni~1(A)), and denote by N*(A) the upper bound of the subgroups Nl(A). Using this notation, we shall prove the following theorem concerning ZP-groups:
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On the Structure of Certain Factorizable Groups, I
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