Geometric Group Theory Down Under - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Group Theory Down Under write by John Cossey. This book was released on 2011-05-02. Geometric Group Theory Down Under available in PDF, EPUB and Kindle. The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Combinatorial and Geometric Group Theory
Combinatorial and Geometric Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial and Geometric Group Theory write by Sean Cleary. This book was released on 2002. Combinatorial and Geometric Group Theory available in PDF, EPUB and Kindle. This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
From Groups to Geometry and Back
From Groups to Geometry and Back - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Groups to Geometry and Back write by Vaughn Climenhaga. This book was released on 2017-04-07. From Groups to Geometry and Back available in PDF, EPUB and Kindle. 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, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Geometry and Topology Down Under
Geometry and Topology Down Under - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Topology Down Under write by Craig D. Hodgson. This book was released on 2013-08-23. Geometry and Topology Down Under available in PDF, EPUB and Kindle. This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.
Cumulated Index to the Books
Cumulated Index to the Books - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cumulated Index to the Books write by . This book was released on 1999. Cumulated Index to the Books available in PDF, EPUB and Kindle.
