Groups and geometry
著者
書誌事項
Groups and geometry
（London Mathematical Society lecture note series, 101）
Cambridge University Press, 1985
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注記
Bibliography: p. [214]-215
Includes index
内容説明・目次
内容説明
This book, which was originally published in 1985 and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and, whilst keeping the presentation at a level that assumes only a basic background in mathematics, leads the reader to the frontiers of current research at the time of publication. The treatment is concrete and combinatorial with a minimal use of analytic geometry. In the interest of the reader's intuition, most of the geometry considered is two-dimensional and there is an emphasis on examples, both in the text and in the problems at the end of each chapter.
目次
- 1. Symmetries and groups
- 2. Isometries of the Euclidian Plane
- 3. Subgroups of the groups of isometries of the plane
- 4. Discontinuous groups of isometries of the Euclidean plane: plane crystallographic groups
- 5. Regular tesselations in higher dimensions
- 6. Incidence geometry of the affine plane
- 7. Projective geometry
- 8. Inversive geometry
- 9. Hyperbolic geometry
- 10. Fuscian groups
- References
- Index.
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