Dominions in the variety of metabelian groups
نویسندگان
چکیده
The concept of dominion (in the sense of Isbell) is investigated in the context of categories of groups, and their basic properties are established. They are then studied in the variety of metabelian groups. It is shown that the dominion of a subgroup in the variety of metabelian groups may be strictly larger than the subgroup itself. Section
منابع مشابه
Dominions in finitely generated nilpotent groups
In the first part, we prove that the dominion (in the sense of Isbell) of a subgroup of a finitely generated nilpotent group is trivial in the category of all nilpotent groups. In the second part, we show that the dominion of a subgroup of a finitely generated nilpotent group of class two is trivial in the category of all metabelian nilpotent groups. Section
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