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Linear approximate groups.

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Publication:600824
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DOI10.3934/era.2010.17.57zbMath1201.20044arXiv1001.4570OpenAlexW2963200630MaRDI QIDQ600824

Ben Green, Emmanuel Breuillard, Terence C. Tao

Publication date: 2 November 2010

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4570


zbMATH Keywords

growthlinear groupsexpander graphsapproximate subgroups


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75)


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Growth in finite simple groups of Lie type ⋮ On pseudo-finite dimensions ⋮ Growth in Some Finite Three-Dimensional Matrix Groups ⋮ Suzuki groups as expanders. ⋮ Approximate subgroups of linear groups. ⋮ Cryptographic Hash Functions and Expander Graphs: The End of the Story? ⋮ Expander graphs in pure and applied mathematics



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