Book review of: T. Tao, Hilbert's fifth problem and related topics

DOI10.1215/00294527-2022-0030zbMath1502.00026OpenAlexW4311895187MaRDI QIDQ5918582

Isaac Goldbring

Publication date: 19 December 2022

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-63/issue-4/Terence-Tao-Hilberts-Fifth-Problem-and-Related-Topics-American-Mathematical/10.1215/00294527-2022-0030.full

Mathematics Subject Classification ID

Geometric group theory (20F65) General properties and structure of real Lie groups (22E15) General properties and structure of locally compact groups (22D05) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Local Lie groups (22E05) External book reviews (00A17)

Cites Work

• Unnamed Item
• Hilbert's fifth problem for local groups
• Bounds in the theory of polynomial rings over fields. A nonstandard approach
• Gromov's theorem on groups of polynomial growth and elementary logic
• On groups and fields definable in o-minimal structures
• Factorization in generalized arithmetic progressions and application to the Erdős-Szemerédi sum-product problems
• The structure of approximate groups.
• Groups without small subgroups
• Small subgroups of finite-dimensional groups
• Stable group theory and approximate subgroups
• The Nonstandard Treatment of Hilbert's Fifth Problem
• Freiman's theorem in an arbitrary abelian group
• Hilbert's 5th problem

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