Expansion in finite simple groups of Lie type
Copyright policy )Expansion in finite simple groups of Lie type
We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
- University of Paris-Saclay France
- University of Southern California United States
- University of Oxford United Kingdom
- University of California System United States
- UNIVERSITE PARIS-SUD France
finite simple groups of Lie type, expander graphs, 20G40, 20N99, random Cayley graphs, Group Theory (math.GR), Graphs and abstract algebra (groups, rings, fields, etc.), Linear algebraic groups over finite fields, product theorems, Probabilistic methods in group theory, FOS: Mathematics, Mathematics - Combinatorics, Simple groups: alternating groups and groups of Lie type, Combinatorics (math.CO), Mathematics - Group Theory, expanders
finite simple groups of Lie type, expander graphs, 20G40, 20N99, random Cayley graphs, Group Theory (math.GR), Graphs and abstract algebra (groups, rings, fields, etc.), Linear algebraic groups over finite fields, product theorems, Probabilistic methods in group theory, FOS: Mathematics, Mathematics - Combinatorics, Simple groups: alternating groups and groups of Lie type, Combinatorics (math.CO), Mathematics - Group Theory, expanders
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