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Product Description 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. Review 'develops a comprehensive group-theoretic approach to affine, projective and inversive geometry ... It ends with a fascinating chapter on the group theory behind the Rubik cube.' Ian Stewart, New Scientist 'Both parts contain a number of exercises that will be invaluable to any reader wishing to gain a fuller understanding of this area of mathematics.' Extrait de L'Enseignement Mathematique, T. 40 1994 The book can be recommended warmly for any interested reader. "Monatshefte fur Mathematik No.3 1996. `delightful book ... The group theory is directed towards group actions, but all the basic material is there.' Mathematika, 41 (1994) About the Author Peter M. Neumann is at The Queen's College, Oxford. Gabrielle A. Stoy is at Lady Margaret Hall, Oxford. Edward C. Thompson is at Jesus College, Oxford.