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- W2608383247 abstract "We give a new obstruction to translation-like actions on nilpotent groups. Suppose we are given two finitely generated torsion free nilpotent groups with the same degree of polynomial growth, but non-isomorphic Carnot completions (asymptotic cones). We show that there exists no injective Lipschitz function from one group to the other. It follows that neither group can act translation-like on the other." @default.
- W2608383247 created "2017-05-05" @default.
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- W2608383247 date "2017-04-23" @default.
- W2608383247 modified "2023-09-22" @default.
- W2608383247 title "Translation-like actions of nilpotent groups" @default.
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