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arxiv: math/0501542 · v1 · submitted 2005-01-31 · 🧮 math.GR · math.GT

Groups with non-simply connected asymptotic cones

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keywords asymptoticconesconnectedfunctiongroupnon-simplyconstructextension
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We construct a group (an HNN extension of a free group) with polynomial isoperimetric function, linear isodiametric function and non-simply connected asymptotic cones.

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