Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Thin Groups and Superstrong Approximation

Thin Groups and Superstrong Approximation

Breuillard, Emmanuel
Oh, Hee

Hardcover

Series: Mathematical Sciences Research Institute Publications, Book 61

AlgebraGeneral Mathematics

ISBN10: 1107036852
ISBN13: 9781107036857
Publisher: Cambridge
Published: Feb 17 2014
Pages: 376
Weight: 1.45
Height: 1.00 Width: 6.40 Depth: 9.40
Language: English
This collection of survey and research articles focuses on recent developments concerning various quantitative aspects of thin groups. There are discrete subgroups of semisimple Lie groups that are both big (i.e., Zariski dense) and small (i.e., of infinite co-volume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading, for instance, to far-reaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap, referred to as superstrong approximation. This book provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics. It is suitable for professional mathematicians and graduate students in mathematics interested in this fascinating area of research.

Also in

General Mathematics

View All