Asymptotic Dimension of Finitely Presented Groups
classification
🧮 math.AT
math.AGmath.GT
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finitelypresentedasymptoticdimensiongroupsasdimbiggercase
read the original abstract
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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