Math 2.0

Theorem

Breuillard–Green–Tao theorem

Statement

The Breuillard–Green–Tao theorem, proved by Emmanuel Breuillard, Ben Green, and Terence Tao in 2011, gives a complete classification of approximate groups. This result can be seen as a nonabelian version of Freiman's theorem, and a generalization of Gromov's theorem on groups of polynomial growth.

Further reading

  1. Wikipedia, page 18243381, revision 1351196394, Arithmetic combinatorics, section Important results > Breuillard–Green–Tao theorem. adopted
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