منابع مشابه
Decidable Properties of Polycyclic Groups
The classical decision problems of group theory were formulated with finitely presented groups in mind. In this generality they are all known to be algorithmically insoluble (Novikov, Boone, Adian and Rabin). The recent work of Kharlampovich and Baumslag, Gildenhuys and Strebel [9,2] has established similar negative results within the category of finitely presented soluble groups. The picture i...
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Seifert Fibre Groups (SF-Gps) have been introduced and their first derived groups have been worked out in an earlier paper by the author [2,3]. Now we aim to prove that they are residually soluble and residually finite.
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For a fixed word hyperbolic group we compare different residual properties related to quasiconvex subgroups.
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Let f : M → N be a continuous map between closed irreducible graph manifolds with infinite fundamental group. Perron and Shalen [PS99] showed that if f induces a homology equivalence on all finite covers, then f is in fact homotopic to a homeomorphism. Their proof used the statement that every graph manifold is finitely covered by a 3-manifold whose fundamental group is residually p for every p...
متن کاملResidual p properties of mapping class groups and surface groups
Let M(Σ,P) be the mapping class group of a punctured oriented surface (Σ,P) (where P may be empty), and let Tp(Σ,P) be the kernel of the action of M(Σ,P) on H1(Σ \ P ,Fp). We prove that Tp(Σ,P) is residually p. In particular, this shows that M(Σ,P) is virtually residually p. For a group G we denote by Ip(G) the kernel of the natural action of Out(G) on H1(G,Fp). In order to achieve our theorem,...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1964
ISSN: 0019-2082
DOI: 10.1215/ijm/1256059575