[PDF.53zs] Expansion in Finite Simple Groups of Lie Type (Graduate Studies in Mathematics)

Expansion in Finite Simple Groups of Lie Type (Graduate Studies in Mathematics)

[PDF.dc48] Expansion in Finite Simple Groups of Lie Type (Graduate Studies in Mathematics)

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 | #3632735 in Books |  2015-04-16 | Original language:English |  10.00 x7.25 x.75l,1.56 | File type: PDF | 303 pages

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|| |"Asymptotic group theory is a recently emerging branch of group theory, that can be described as the study of groups whose order is finite-but large! Tao's book is certainly a valuable introduction to that exciting new subject." - Alain Valette, Jahresber Dtsc

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 Kazhd...

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