Growth in linear groups

zbMath1341.20039arXiv1208.2538MaRDI QIDQ2809750

László Pyber, Endre Szabó

Publication date: 30 May 2016

Full work available at URL: https://arxiv.org/abs/1208.2538

zbMATH Keywords

growthlinear groupssimple groups of Lie typenongrowing subsets

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Structure of modular groups and generalizations; arithmetic groups (11F06) Asymptotic properties of groups (20F69) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

Non-commutative methods in additive combinatorics and number theory ⋮ Every finite subset of an abelian group is an asymptotic approximate group ⋮ Number of directions determined by a set in \(\mathbb{F}_q^2\) and growth in \(\mathrm{Aff}(\mathbb{F}_q)\) ⋮ Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent ⋮ Growth in Some Finite Three-Dimensional Matrix Groups ⋮ Expansion, random walks and sieving in \(SL_2({\mathbb{F}_p}[t)\)] ⋮ Groups equal to a product of three conjugate subgroups ⋮ Growth in groups: ideas and perspectives

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