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• W2986162662 abstract "Approximate groups have shot to prominence in recent years, driven both by rapid progress in the field itself and by a varied and expanding range of applications. This text collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction. The author presents a number of recent developments in the field, including an exposition of his recent result classifying nilpotent approximate groups. The book also features a considerable amount of previously unpublished material, as well as numerous exercises and motivating examples. It closes with a substantial chapter on applications, including an exposition of Breuillard, Green and Tao's celebrated approximate-group proof of Gromov's theorem on groups of polynomial growth. Written by an author who is at the forefront of both researching and teaching this topic, this text will be useful to advanced students and to researchers working in approximate groups and related areas." @default.
• W2986162662 created "2019-11-22" @default.
• W2986162662 creator A5055571555 @default.
• W2986162662 date "2019-10-31" @default.
• W2986162662 modified "2023-09-28" @default.
• W2986162662 title "Introduction to Approximate Groups" @default.
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• W2986162662 doi "https://doi.org/10.1017/9781108652865" @default.
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