Generic Thinness in Finitely Generated Subgroups of SL$_n(\mathbb Z)$

DOI10.1093/imrn/rnw136zbMath1404.20042arXiv1506.01735OpenAlexW2963426048MaRDI QIDQ4612026

Igor Rivin, Elena Fuchs

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01735

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Other geometric groups, including crystallographic groups (20H15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items (7)

Geometric algorithms for discreteness and faithfulness ⋮ Volumes for \(\text{SL}_N(\mathbb{R})\), the Selberg integral and random lattices ⋮ Thin subgroups isomorphic to Gromov-Piatetski-Shapiro lattices ⋮ 2-generation of simple Lie algebras and free dense subgroups of algebraic groups ⋮ An origami of genus 3 with arithmetic Kontsevich–Zorich monodromy ⋮ Constructing thin subgroups of \(\text{SL}(n + 1, \mathbb{R})\) via bending ⋮ Algorithms for Experimenting with Zariski Dense Subgroups

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