We show that pairs of generators for the family Sz(q) of Suzuki groups may be selected so that the corresponding Cayley graphs are expanders. By combining this with several deep works of Kassabov, Lubotzky and Nikolov, this establishes that the family of all non-abelian finite simple groups can be made into expanders in a uniform fashion.
Emmanuel Breuillard
1
;
Ben J. Green
2
;
Terence Tao
3
1
Université Paris-Sud 11, Orsay, France
2
University of Oxford, United Kingdom
3
University of California Los Angeles, United States
Emmanuel Breuillard; Ben J. Green; Terence Tao. Suzuki groups as expanders. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 281-299. doi: 10.4171/ggd/128
@article{10_4171_ggd_128,
author = {Emmanuel Breuillard and Ben J. Green and Terence Tao},
title = {Suzuki groups as expanders},
journal = {Groups, geometry, and dynamics},
pages = {281--299},
year = {2011},
volume = {5},
number = {2},
doi = {10.4171/ggd/128},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/128/}
}
TY - JOUR
AU - Emmanuel Breuillard
AU - Ben J. Green
AU - Terence Tao
TI - Suzuki groups as expanders
JO - Groups, geometry, and dynamics
PY - 2011
SP - 281
EP - 299
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/128/
DO - 10.4171/ggd/128
ID - 10_4171_ggd_128
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%R 10.4171/ggd/128
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