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Books > Science & Mathematics > Mathematics > Algebra
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Expansion in Finite Simple Groups of Lie Type (Hardcover)
Loot Price: R3,394
Discovery Miles 33 940
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Expansion in Finite Simple Groups of Lie Type (Hardcover)
Series: Graduate Studies in Mathematics
Expected to ship within 12 - 17 working days
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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, escape from subvarieties, and the
Balog-Szemeredi-Gowers lemma. Applications to the affine sieve of
Bourgain, Gamburd, and Sarnak are also given. The material is
largely self-contained, with additional sections on the general
theory of expanders, spectral theory, Lie theory, and the Lang-Weil
bound, as well as numerous exercises and other optional material.
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