Solvability of factorizable groups, I
نویسندگان
چکیده
منابع مشابه
On the Structure of Certain Factorizable Groups, I
1. A considerable amount is known about the structure of finite factorizable groups—that is, groups G which can be represented in the form AB, where A and B are subgroups of G. Such groups are known to be solvable under a variety of assumptions on the subgroups A and B. If A and B are both Abelian, Ito [6] has shown that G is actually metabelian. If A and B are both cyclic, it is easy to see th...
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متن کاملOn the Structure of Certain Factorizable Groups. Ii
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 deno...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1979
ISSN: 0021-8693
DOI: 10.1016/0021-8693(79)90220-5