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- Introduction to approximate groups by Matthew C. H. Tointon
- Bull. Amer. Math. Soc. 58 (2021), 283-288
- Additional book information: London Mathematical Society Student Texts, Vol. 94, Cambridge University Press, Cambridge, 2020, xiii+205 pp., ISBN 978-1-108-45644-9; 978-1-108-47073-5
References
- Emmanuel Breuillard, A brief introduction to approximate groups, Thin groups and superstrong approximation, Math. Sci. Res. Inst. Publ., vol. 61, Cambridge Univ. Press, Cambridge, 2014, pp. 23–50. MR 3220883
- Emmanuel Breuillard, Ben Green, and Terence Tao, The structure of approximate groups, Publ. Math. Inst. Hautes Études Sci. 116 (2012), 115–221. MR 3090256, DOI 10.1007/s10240-012-0043-9
- Yves de Cornulier, Relative Kazhdan property, Ann. Sci. École Norm. Sup. (4) 39 (2006), no. 2, 301–333 (English, with English and French summaries). MR 2245534, DOI 10.1016/j.ansens.2005.12.006
- B. Green, Approximate groups and their applications: work of Bourgain, Gamburd, Helfgott and Sarnak, arXiv:0911.3354
- David J. Grynkiewicz, Structural additive theory, Developments in Mathematics, vol. 30, Springer, Cham, 2013. MR 3097619, DOI 10.1007/978-3-319-00416-7
- S. Machado, Approximate lattices and Meyer sets in nilpotent Lie groups, Preprint: arXiv:1810.10870
- S. Machado, Infinite approximate subgroups of soluble Lie groups, Preprint: arXiv:1909.12151
- Yehuda Shalom and Terence Tao, A finitary version of Gromov’s polynomial growth theorem, Geom. Funct. Anal. 20 (2010), no. 6, 1502–1547. MR 2739001, DOI 10.1007/s00039-010-0096-1
- Terence Tao, Product set estimates for non-commutative groups, Combinatorica 28 (2008), no. 5, 547–594. MR 2501249, DOI 10.1007/s00493-008-2271-7
- Terence Tao and Van H. Vu, Additive combinatorics, Cambridge Studies in Advanced Mathematics, vol. 105, Cambridge University Press, Cambridge, 2010. Paperback edition [of MR2289012]. MR 2573797
Reviewer information
- Reviewer: Michael Björklund
- Affiliation: Department of Mathematics, Chalmers University of Technology, Gothenburg, Sweden
- Email: micbjo@chalmers.se
Additional Information
- Journal: Bull. Amer. Math. Soc. 58 (2021), 283-288
- DOI: https://doi.org/10.1090/bull/1709
- Keywords: Approximate groups, additive combinatorics
- Published electronically: January 7, 2021
- Review Copyright: © Copyright 2021 American Mathematical Society