Introduction to Approximate Groups

ISBN-13: 9781108470735 / Angielski / Twarda / 2019 / 216 str.

Matthew C. H. Tointon

Opis

Provides a comprehensive exploration of the main concepts and techniques from the young, exciting field of approximate groups.

Recenzje

'The book now under reviews offers an excellent introduction … the book is very nicely written, Researchers and fledgling researchers in this area will want to own this book.' Mark Hunacek, The Mathematical Gazette

Spis treści

1. Introduction; 2. Basic concepts; 3. Coset progressions and Bohr sets; 4. Small doubling in abelian groups; 5. Nilpotent groups, commutators and nilprogressions; 6. Nilpotent approximate groups; 7. Arbitrary approximate groups; 8. Residually nilpotent approximate groups; 9. Soluble approximate subgroups GLn(C); 10. Arbitrary approximate subgroups of GLn(C); 11. Applications to growth in groups; References; Index.