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Asymptotic dimension of finitely presented groups
Authors:Thanos Gentimis
Institution:Department of Mathematics, University of Florida, Gainesville, Florida 32611
Abstract:We prove that if a finitely presented group is one-ended, then its asymptotic dimension is greater than $ 1$. It follows that a finitely presented group of asymptotic dimension $ 1$ is virtually free.

Keywords:Dimension theory  asymptotic dimension  finitely presented group
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