The main result describes completely the maximal factorizations of all the finite simple groups and their automorphism groups. As a consequence, a classification of the maximal subgroups of the finite alternating and symmetric groups is obtained.
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
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…
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expansion in Finite Simple Groups of Lie Type
by Tao, Terence
fromGraduate studies in mathematics
Cover -- Title -- Dedication -- Contents -- Preface -- Part 1. Expansion in Cayley graphs -- Chapter 1. Expander graphs: Basic theory -- Chapter 2. Expansion in Cayley graphs, and Kazhdan's property (T) -- Chapter 3. Quasirandom groups -- Chapter 4. The Balog-Szemerédi-Gowers le…
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
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…
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
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…
The first of two volumes, this text offers results that are used in the proof of the main theoremthat lies behind quasithin groups, an class of finite simple groups. Some results are gathered from existing mathematical literature, but many are proven for the first time.