From Groups to Geometry and Back

ISBN-13: 9781470434793 / Angielski / Miękka / 2017 / 433 str.

Climenhaga, Vaughn|||Katok, Anatole

Opis

Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry.