Symmetric groups and expanders
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Publication:4681015
DOI10.1090/S1079-6762-05-00146-0zbMath1077.20001arXivmath/0503204MaRDI QIDQ4681015
Publication date: 14 June 2005
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503204
symmetric groupsCayley graphsalternating groupsKazhdan constantsexpandersproperty Trandom permutations
Sums of independent random variables; random walks (60G50) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30)
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Cites Work
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- Diameters of Cayley graphs of Chevalley groups
- Small-diameter Cayley graphs for finite simple groups
- Ramanujan graphs
- Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
- Expansion properties of Cayley graphs of the alternating groups
- Entropy waves, the zig-zag graph product, and new constant-degree expanders
- Random Cayley graphs are expanders: a simple proof of the Alon-Roichman theorem
- Upper bound on the characters of the symmetric groups
- Universal lattices and unbounded rank expanders.
- The product replacement algorithm and Kazhdan’s property (T)
- SYMMETRIC GROUPS AS PRODUCTS OF ABELIAN SUBGROUPS
- KAZHDAN CONSTANTS FOR SLn(ℤ)
- Kazhdan constants for SL (3, Z).
- A new family of Cayley expanders (?)
- Finite Quotients of the Automorphism Group of a Free Group
- Random Cayley graphs and expanders
- Finite simple groups as expanders
- Bounded generation and Kazhdan's property (T)