Groups and Geometry

Groups and Geometry

by Peter M. Neumann, Gabrielle A. Stoy, Edward C. Thompson
     
 

ISBN-10: 0198534515

ISBN-13: 9780198534518

Pub. Date: 02/28/1994

Publisher: Oxford University Press, USA


This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the…  See more details below

Overview


This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text on an important topic.

Product Details

ISBN-13:
9780198534518
Publisher:
Oxford University Press, USA
Publication date:
02/28/1994
Series:
Oxford Science Publications
Pages:
264
Product dimensions:
6.13(w) x 9.13(h) x 0.63(d)

Table of Contents

1A survey of some group theory1
2A menagerie of groups17
3Actions of groups30
4A garden of G-spaces38
5Transitivity and orbits50
6The classification of transitive G-spaces61
7G-morphisms74
8Group actions in group theory83
9Actions count100
10Geometry: an introduction108
11The axiomatisation of geometry116
12Affine geometry127
13Projective geometry148
14Euclidean geometry159
15Finite groups of isometries172
16Complex numbers and quaternions188
17Inversive geometry210
18Topological considerations229
19The group theory of Rubik's magic cube242
Index249

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