On Separability Properties of Nilpotent Groups
نویسندگان
چکیده
منابع مشابه
On the Conjugacy Separability in the Class of Finite P -groups of Finitely Generated Nilpotent Groups
It is proved that for any prime p a finitely generated nilpotent group is conjugacy separable in the class of finite p-groups if and only if the tor-sion subgroup of it is a finite p-group and the quotient group by the torsion subgroup is abelian. 1. Let K be a class of groups. A group G is called residual K (or K-residual) if for each non-unit element a ∈ G there is a homomorphism ϕ of G onto ...
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The articles [2], [3], [4], [6], [7], [5], [8], [9], [10], and [1] provide the notation and terminology for this paper. For simplicity, we use the following convention: x is a set, G is a group, A, B, H, H1, H2 are subgroups of G, a, b, c are elements of G, F is a finite sequence of elements of the carrier of G, and i, j are elements of N. One can prove the following propositions: (1) ab = a · ...
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ژورنال
عنوان ژورنال: Malaysian Journal of Science
سال: 2009
ISSN: 1394-3065
DOI: 10.22452/mjs.vol28no3.13