Groups of Lie type as products of SL2 subgroups

We prove that apart from the Suzuki groups, every finite simple group of Lie type of rank r over a field of q elements can be written as a product of C(r) subgroups isomorphic to SL2(q) or PSL2(q), where C(r) is a quadratic function. This has an application to the theory of expander graphs. © 2009 E...

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Detalles Bibliográficos
Main Authors: Liebeck, M, Nikolov, N, Shalev, A
Formato: Journal article
Publicado: 2011