منابع مشابه
On Some of the Residual Properties of Finitely Generated Nilpotent Groups
In recent years, the RFRS condition has been used to analyze virtual fibering in 3-manifold topology. Agol’s work shows that any 3-manifold with zero Euler characteristic satisfying the RFRS condition on its fundamental group virtually fibers over the circle. In this note we will show that a finitely generated nilpotent group is either virtually abelian or is not virtually RFRS. As a corollary,...
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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.
متن کاملNilpotent Groups
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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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...
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ژورنال
عنوان ژورنال: Modeling and Analysis of Information Systems
سال: 2015
ISSN: 2313-5417,1818-1015
DOI: 10.18255/1818-1015-2015-2-149-157