Dominions in finitely generated nilpotent groups
نویسندگان
چکیده
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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Definition 1. Let G be a group. G is said to be residually finite if the intersection of all normal subgroups of G of finite index in G is trivial. For a survey of results on residual finiteness and related properties, see Mag-nus, Karrass, and Solitar [6, Section 6.5]. We shall present a proof of the following well known theorem, which is important for Kharlampovich [4, 5]. See also O. V. Bele...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1999
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927879908826714