Explicit Growth and Expansion for SL2
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Publication:5494710
DOI10.1093/imrn/rns214zbMath1353.20036arXiv1201.1139OpenAlexW2964189933MaRDI QIDQ5494710
Publication date: 29 July 2014
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.1139
expansionspecial linear groupsZariski-dense subgroups\(L^2\) flattening theoremCayley graphs modulo primes of subgroupsHelfgott's growth theorem
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Related Items (8)
Non-commutative methods in additive combinatorics and number theory ⋮ Spectral gap in the group of affine transformations over prime fields ⋮ On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications ⋮ Diameter of Cayley graphs of \(\mathrm{SL}(n,p)\) with generating sets containing a transvection ⋮ An explicit upper bound for the Helfgott delta in \(\mathrm{SL}(2,p)\). ⋮ Growth and expansion in algebraic groups over finite fields ⋮ Expansion of coset graphs of \(\mathrm{PSL}_2(\mathrm{F}_p)\) ⋮ Growth in groups: ideas and perspectives
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