A new metric criterion for non-amenability I
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🧮 math.GR
keywords
non-amenabilitycriteriongroupsmetricapplicationburnsideexponentfree
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By studying the so-called traveling salesman groups, we obtain a new metric criterion for non-amenability. As an application, we give a new and very short proof of non-amenability of free Burnside groups with sufficiently big odd exponent.
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