Groups and Geometry

Paperback | May 1, 1995

byPeter M. Neumann, Gabrielle A. Stoy, Edward C. Thompson

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Available for the first time in published form, Groups and Geometry presents the Oxford Mathematical Institute notes for undergraduates and first year postgraduates. The content is guided by the Oxford syllabus but includes much more material than is included on the syllabus. This book isabout the measurement of symmetry: covering groups and geometry with the symbiotic relationship between the two more than justifying the union. A number of exercises are included in this sylish text to help the reader gain a full understanding of this branch of mathematics.

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Available for the first time in published form, Groups and Geometry presents the Oxford Mathematical Institute notes for undergraduates and first year postgraduates. The content is guided by the Oxford syllabus but includes much more material than is included on the syllabus. This book isabout the measurement of symmetry: covering gr...

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.

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Format:PaperbackDimensions:264 pages, 9.21 × 6.14 × 0.59 inPublished:May 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198534515

ISBN - 13:9780198534518

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Table of Contents

1. A survey of some group theory2. A menagerie of groups3. Actions of groups4. A garden of G-spaces5. Transitivity and orbits6. The classification of transitive G-spaces7. G-morphisms8. Group actions in group theory9. Actions count10. Geometry: an introduction11. The axiomatisation of geometry12. Affine geometry13. Projective geometry14. Euclidean geometry15. Finite groups of isometries16. Complex numbers and quaternions17. Inversive geometry18. Topological considerations19. The groups theory of Rubik's magic cubeIndex

Editorial Reviews

`delightful book ... The group theory is directed towards group actions, but all the basic material is there.'Mathematika, 41 (1994)