Quantitative residual properties of Γ-limit groups
نویسندگان
چکیده
منابع مشابه
Algorithmic and Statistical Properties of Filling Elements of a Free Group, and Quantitative Residual Properties of Γ-limit Groups by Brent Bradford Solie
A filling subgroup of a finitely generated free group F (X) is a subgroup which does not fix a point in any very small action free action on an R-tree. For the free group of rank two, we construct a combinatorial algorithm to determine whether or not a given finitely generated subgroup is filling. In higher ranks, we discuss two types of non-filling subgroups: those contained in loop vertex sub...
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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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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: International Journal of Algebra and Computation
سال: 2014
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s021819671450012x