Combinatorial Group Theory
by Charles F. Miller III
Publisher: University of Melbourne 2004
Number of pages: 99
Description:
An early version of these notes was prepared for use by the participants in the Workshop on Algebra, Geometry and Topology held at the Australian National University. They have subsequently been updated and expanded many times for use by students in the subject Combinatorial Group Theory at the University of Melbourne.
Download or read it online for free here:
Download link
(490KB, PDF)
Similar books
Group theory for Maths, Physics and Chemistryby Arjeh Cohen, Rosane Ushirobira, Jan Draisma
Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.
(8717 views)
Representation Theory of Compact Groupsby Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(6090 views)
Algebraic Groups, Lie Groups, and their Arithmetic Subgroupsby J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(7075 views)
Thin Groups and Superstrong Approximationby Emmanuel Breuillard, Hee Oh (eds.) - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
(1486 views)