Approximate groups and doubling metrics

DOI10.1017/S0305004111000740zbMath1332.11014arXiv0912.0305MaRDI QIDQ2883234

Tom Sanders

Publication date: 11 May 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0305

zbMATH Keywords

non-abelian groupsFreiman's theoremrelative polynomial growth hypothesis

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Abelian groups (20K99) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

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Non-commutative methods in additive combinatorics and number theory ⋮ Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\). ⋮ On the spectral gap and the diameter of Cayley graphs ⋮ On Asymptotic Approximate Groups of Integers ⋮ Finite field models in arithmetic combinatorics -- ten years on

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