2.2k citations
- California Institute of TechnologyUS14 papers
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Showing 2005 · math.GRShow all
3 papers · 2 filters
math.GR2005★ 6 cited
Symmetric Groups and Expander Graphs
Martin Kassabov
We construct explicit generating sets S_n and \tilde S_n of the for the alternating and the symmetric groups, which turn the Cayley graphs C(Alt(n), S_n) and C(Sym(n), \tilde S_n)…
math.GR2005★ 12 cited
Symmetric Groups and Expanders
Martin Kassabov
We construct an explicit generating sets and of the alternating and the symmetric groups, which make the Cayley graphs and $C(Sym(n), \tilde F_n…
math.GR2005★ 2 cited
Universal lattices and unbounded rank expanders
Martin Kassabov
We study the representations of non-commutative universal lattices and use them to compute lower bounds for the \TauC for the commutative universal lattices $G_{d,k}= \SL_d(\Z[x_1,…