Growth in SL2 over finite fields

DOI10.1515/JGT.2010.056zbMath1236.20052MaRDI QIDQ3007962

Oren Dinai

Publication date: 17 June 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

Cayley graphsgenerating setsfinite linear groupsgrowth propertiesadditive combinatoricsdiameter of groupspoly-logarithmic diameterssymbolic generation of traces

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic properties of groups (20F69) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items

Growth in finite simple groups of Lie type ⋮ Diameters of Chevalley groups over local rings. ⋮ On a girth-free variant of the Bourgain-Gamburd machine ⋮ A sum-bracket theorem for simple Lie algebras ⋮ On the diameter of permutation groups. ⋮ Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\). ⋮ Growth and expansion in algebraic groups over finite fields ⋮ Short laws for finite groups and residual finiteness growth ⋮ Expander graphs in pure and applied mathematics ⋮ Navigating directed Cayley graphs of small diameter: A potent Solovay–Kitaev procedure ⋮ Growth in groups: ideas and perspectives

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