منابع مشابه
on varietal capability of infinite direct products of groups
recently, the authors gave some conditions under which a direct product of finitely many groups is $mathcal{v}-$capable if and only if each of its factors is $mathcal{v}-$capable for some varieties $mathcal{v}$. in this paper, we extend this fact to any infinite direct product of groups. moreover, we conclude some results for $mathcal{v}-$capability of direct products of infinitel...
متن کاملOn p-almost direct products and residual properties of pure braid groups of nonorientable surfaces
We prove that the nth pure braid group of a nonorientable surface (closed or with boundary, but different from RP2) is residually 2-finite. Consequently, this group is residually nilpotent. The key ingredient in the closed case is the notion of p-almost direct product, which is a generalization of the notion of almost direct product. We prove therefore also some results on lower central series ...
متن کاملAutomorphisms of Regular Wreath Product p-Groups
We present a useful new characterization of the automorphisms of the regular wreath product group P of a finite cyclic p-group by a finite cyclic p-group, for any prime p, and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut P , where P is the regular wreath product of a finite cyclic p-group by...
متن کاملSubgroups of direct products of limit groups
If Γ1, . . . ,Γn are limit groups and S ⊂ Γ1 × · · · × Γn is of type FPn(Q) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0323891-5