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.
Bibliographical noteFunding Information:
E-mail addresses: firstname.lastname@example.org (M.W. Liebeck), email@example.com (N. Nikolov), firstname.lastname@example.org (A. Shalev). 1 The author acknowledges the support of an EPSRC Visiting Fellowship at Imperial College London.
- Expander graphs
- Finite simple groups
- Subgroup width