Geodesic
Expansion in finite simple groups of Lie type
Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1367-1434
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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].
DOI : 10.4171/jems/533
Classification : 20-XX
Keywords: Finite simple groups, expander graphs, product theorems 
@article{JEMS_2015_17_6_a2,
     author = {Emmanuel Breuillard and Ben J. Green and Robert M. Guralnick and Terence Tao},
     title = {Expansion in finite simple groups of {Lie} type},
     journal = {Journal of the European Mathematical Society},
     pages = {1367--1434},
     year = {2015},
     volume = {17},
     number = {6},
     doi = {10.4171/jems/533},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/533/}
}
TY  - JOUR
AU  - Emmanuel Breuillard
AU  - Ben J. Green
AU  - Robert M. Guralnick
AU  - Terence Tao
TI  - Expansion in finite simple groups of Lie type
JO  - Journal of the European Mathematical Society
PY  - 2015
SP  - 1367
EP  - 1434
VL  - 17
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/533/
DO  - 10.4171/jems/533
ID  - JEMS_2015_17_6_a2
ER  - 
%0 Journal Article
%A Emmanuel Breuillard
%A Ben J. Green
%A Robert M. Guralnick
%A Terence Tao
%T Expansion in finite simple groups of Lie type
%J Journal of the European Mathematical Society
%D 2015
%P 1367-1434
%V 17
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/533/
%R 10.4171/jems/533
%F JEMS_2015_17_6_a2
Emmanuel Breuillard; Ben J. Green; Robert M. Guralnick; Terence Tao. Expansion in finite simple groups of Lie type. Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1367-1434. doi: 10.4171/jems/533

Cité par Sources :