| Document Type
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BL
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| Record Number
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979575
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| Doc. No
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b733945
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| Main Entry
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Magnus, Wilhelm.
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| Title & Author
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Noneuclidean tesselations and their groups.
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| Publication Statement
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Burlington :: Elsevier Science,, 2014.
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| Series Statement
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Pure and Applied Mathematics ;; v. 61
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| Page. NO
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1 online resource (225 pages).
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| ISBN
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0080873774
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: 9780080873770
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| Contents
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Front Cover; Noneuclidean Tesselations and Their Groups; Copyright Page; Contents; Preface; Abbreviations and Symbols; CHAPTER I. ELEMENTARY CONCEPTS AND FORMULAS; I.1 The Group G* of Homographic Substitutions; I.2 Action of G* on the Closed Complex Plane C; I.3 Action of G* on Hyperbolic Three-Space; I.4 Circle Groups as Groups of Motions of Hyperbolic Two-Space; I.5 Notes on Elliptic and Spherical Geometry; I.6 Illustrations. References and Historical Remarks; I.7 Appendix: Hilbert's Axioms of Geometry; CHAPTER II. DISCONTINUOUS GROUPS AND TRIANGLE TESSELATIONS; II. 1 Introductory Remarks.
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CHAPTER V. GROUPS THAT ARE DISCONTINUOUS IN HYPERBOLIC THREE-SPACEV.l Linear Groups over Imaginary Quadratic Number Fields; V.2 Some Geometric Contructions; Figures; References; Index.
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II. 2 Discontinuous Groups and Fundamental RegionsII. 3 Triangle Groups, Local and Global Relations; II. 4 Euclidean, Spherical, and Elliptic Triangle Groups; II. 5 Hyperbolic Triangle Groups; II. 6 Some Subgroups of Hyperbolic Triangle Groups; II. 7 General Theorems. A Survey and References; CHAPTER III. NUMBER THEORETICAL METHODS; III. 1 The Modular Group; III. 2 Subgroups and Quotient Groups of the Modular Group; III. 3 Groups of Units of Ternary Quadratic and Binary Hermitian Forms; CHAPTER IV. MISCELLANY; IV. 1 Examples of Discontinuous Nonfuchsian Groups; IV. 2 Fricke Characters.
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| Abstract
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Noneuclidean tesselations and their groups.
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| Subject
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Geometry, Non-Euclidean.
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| Subject
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Tessellations (Mathematics)
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| Dewey Classification
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511.6
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| LC Classification
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QA166.8 -- M34 1974eb
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