Growth in groups: ideas and perspectives
Growth in groups: ideas and perspectives
This is a survey of methods developed in the last few years to prove results on growth in non-commutative groups. These techniques have their roots in both additive combinatorics and group theory, as well as other fields. We discuss linear algebraic groups, with $\mathrm {SL}_2(\mathbb {Z}/p\mathbb {Z})$ as the basic …