pith. sign in

arxiv: 1309.1975 · v2 · pith:PIYBSMSBnew · submitted 2013-09-08 · 🧮 math.GR · math.CO

Expansion in finite simple groups of Lie type

classification 🧮 math.GR math.CO
keywords groupssimplefinitetypealgebraicbourgain-gamburdcayleycompanion
0
0 comments X
read the original 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, establishing strongly dense subgroups in simple algebraic groups.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.