Expansion in Finite Simple Groups of Lie Type


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Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, ...

Expansion in Finite Simple Groups of Lie Type 2015, American Mathematical Society, Providence

ISBN-13: 9781470421960