A relatively free topological group that is not varietal free
نویسندگان
چکیده
منابع مشابه
Finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup that is locally free but not free
The purpose of this note is to show that the collection LF of finite volume hyperbolic 3-manifolds whose fundamental groups contain a subgroup that is locally free but not free is commensurably infinite. This result is stated formally as Theorem 4.1, and gives a strong answer to a question of Kropholler given in the Problem List in Niblo and Roller [19]. Recall that two hyperbolic 3-manifolds N...
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متن کاملHomogeneity in relatively free groups
We prove that any torsion-free, residually finite relatively free group of infinite rank is not א1-homogeneous. This generalizes R. Sklinos’ result that a free group of infinite rank is not א1-homogeneous, and, in particular, gives a new simple proof of that result.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1998
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-77-1-1-8