Some finitely presented groups of cohomological dimension two with property (FA)
نویسندگان
چکیده
منابع مشابه
Asymptotic Dimension of Finitely Presented Groups
We prove that if a finitely presented group is one-ended then its asymptotic dimension is bigger than 1. It follows that a finitely presented group of asymptotic dimension 1 is virtually free.
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Wreath products such as Z ≀ Z are not finitely-presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z ≀ Z as a subgroup of Thompson’s group F and as a subgroup of Baumslag’s metabelian group G. We find that Z ≀ Z is undistorted in F but is at least exponentially distorted in G.
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The Todd-Coxeter coset enumeration algorithm is one of the most powerful tools of computational group theory. It may be viewed as a means of constructing permutation representations of nitely presented groups. In this paper we present an analogous algorithm for directly constructing matrix representations over many elds. In fact the algorithm is more general than this, and can be used to constr...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1983
ISSN: 0022-4049
DOI: 10.1016/0022-4049(83)90105-6