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HomeMIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019Lecture 22: Structure of Set Addition II: Groups of Bounded Exponent and Modeling Lemma

Lecture 22: Structure of Set Addition II: Groups of Bounded Exponent and Modeling Lemma

1:19:57

Description: Continuing the discussion of Freiman’s theorem, Professor Zhao explains the Ruzsa covering lemma and uses it to prove Freiman’s theorem in groups of bounded exponent. He then explains Freiman homomorphisms, which are maps that partially preserve additive structure, as well as the modeling lemma.

Instructor: Prof. Yufei Zhao