Expansion in finite simple groups of Lie type

Breuillard, Emmanuel, et al. "Expansion in finite simple groups of Lie type." Journal of the European Mathematical Society 017.6 (2015): 1367-1434. <http://eudml.org/doc/277506>.

@article{Breuillard2015,
abstract = {We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].},
author = {Breuillard, Emmanuel, Green, Ben J., Guralnick, Robert, Tao, Terence},
journal = {Journal of the European Mathematical Society},
keywords = {finite simple groups; expander graphs; product theorems; random Cayley graphs; finite simple groups of Lie type; expander graphs; random Cayley graphs; product theorems; expanders},
language = {eng},
number = {6},
pages = {1367-1434},
publisher = {European Mathematical Society Publishing House},
title = {Expansion in finite simple groups of Lie type},
url = {http://eudml.org/doc/277506},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Breuillard, Emmanuel
AU - Green, Ben J.
AU - Guralnick, Robert
AU - Tao, Terence
TI - Expansion in finite simple groups of Lie type
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 6
SP - 1367
EP - 1434
AB - We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
LA - eng
KW - finite simple groups; expander graphs; product theorems; random Cayley graphs; finite simple groups of Lie type; expander graphs; random Cayley graphs; product theorems; expanders
UR - http://eudml.org/doc/277506
ER -