Groups of Lie type as products of \(\text{SL}_2\) subgroups.

DOI10.1016/j.jalgebra.2008.12.030zbMath1225.20016OpenAlexW2136879267WikidataQ115351322 ScholiaQ115351322MaRDI QIDQ2431542

Nikolay Nikolov, Martin W. Liebeck, Aner Shalev

Publication date: 15 April 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.030

zbMATH Keywords

finite simple groupsproducts of subgroupsgroups of Lie typeexpander graphssubgroup widths

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Related Items

FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK ⋮ On the product decomposition conjecture for finite simple groups ⋮ \(\mathrm{SL}_2\)-factorizations of Chevalley groups. ⋮ Covering and growth for group subsets and representations ⋮ Finite simple groups of Lie type as expanders. ⋮ Boosting an analogue of Jordan's theorem for finite groups ⋮ Compact groups in which all elements are almost right Engel ⋮ Unitriangular factorizations of Chevalley groups. ⋮ A conjecture on product decompositions in simple groups. ⋮ How to pick a random integer matrix? (and other questions) ⋮ Decompositions of congruence subgroups of Chevalley groups

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