After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. This book is an examination of the material on the general elementary theory of groups that is necessary …
From groups to geometry and back
by Climenhaga, Vaughn, Katok, A. B.
fromStudent mathematical library
From groups to geometry and back
by Climenhaga, Vaughn, Katok, A. B.
fromStudent mathematical library
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…
Office hours with a geometric group theorist
Office hours with a geometric group theorist
"Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. [This book] brings together leading experts who provide one-on-one instruction on key t…
"This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or P…
