Direct and inverse problems in additive number theory and in non-abelian group theory |
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Institution: | 1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel;2. Dipartimento di Matematica, Universita’ di Salerno, 84084 Fisciano (Salerno), Italy;3. Afeka Academic College, Tel Aviv 69107, Israel;4. The Open University of Israel, Raanana 43107, Israel |
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Abstract: | We obtain new direct and inverse results for Minkowski sums of dilates and we apply them to solve certain direct and inverse problems in Baumslag–Solitar groups, assuming appropriate small doubling properties. |
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