Asymptotic Dimension of Finitely Presented Groups

Details Asymptotic Dimension of Finitely Presented Groups Asymptotic Dimension of Finitely Presented Groups

2006-10-18

arxiv.org/abs/math/0610541v1

Mathematics

Algebraic Topology

7 pages,no figures

Scientific paper

It is proven that if a finitely presented group is one ended it has
asymptotic dimension bigger than one. It follows that finitely presented groups
with asdim 1 are virtually free. A counterexample is given for the finitely
generated case.

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