Free Subgroups of Groups with Nontrivial Floyd Boundary
نویسندگان
چکیده
منابع مشابه
Free Subgroups of Groups with Nontrivial Floyd Boundary
We prove that when a countable group admits a nontrivial Floyd-type boundary, then every nonelementary and metrically proper subgroup contains a noncommutative free subgroup. This generalizes the corresponding well-known results for hyperbolic groups and groups with infinitely many ends. It also shows that no finitely generated amenable group admits a nontrivial boundary of this type. This impr...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2003
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120023961