Inventiones mathematicae

, Volume 170, Issue 2, pp 327–354

Symmetric groups and expander graphs


DOI: 10.1007/s00222-007-0065-y

Cite this article as:
Kassabov, M. Invent. math. (2007) 170: 327. doi:10.1007/s00222-007-0065-y


We construct explicit generating sets Sn and \(\tilde{S}_{n}\) of the alternating and the symmetric groups, which turn the Cayley graphs \(\mathcal{C}(\text{Alt}(n), S_{n})\) and \(\mathcal{C}(\text{Sym}(n), \tilde{S}_{n})\) into a family of bounded degree expanders for all n.

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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