Sieve methods in group theory I: Powers in linear groups

DOI10.1090/S0894-0347-2012-00736-XzbMath1283.20075arXiv1107.3666MaRDI QIDQ5326484

Chen Meiri, Alexander Lubotzky

Publication date: 6 August 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3666

zbMATH Keywords

finitely generated groupsfinite groups of Lie typesievesproperty \(\Gamma\)linear groupsproper powersexponentially small subsets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Applications of sieve methods (11N36) Other matrix groups over fields (20H20) Probabilistic methods in group theory (20P05)

Related Items (max. 100)

EXPANDER GRAPHS AND SIEVING IN COMBINATORIAL STRUCTURES ⋮ Zariski density and computing in arithmetic groups ⋮ Sieve methods in group theory. II: The mapping class group ⋮ Most words are geometrically almost uniform ⋮ SIEVE METHODS IN GROUP THEORY III: Aut(F_n) ⋮ Lyapunov exponents for surface group representations ⋮ Expansion, random walks and sieving in \(SL_2({\mathbb{F}_p}[t)\)] ⋮ Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers ⋮ Non virtually solvable subgroups of mapping class groups have non virtually solvable representations ⋮ Expander graphs in pure and applied mathematics

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