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Generators and Relations For Discrete Groups by H.S.M.Coxeter and W.O.J.Moser is a book available to read on EtoBox.

What is Generators and Relations For Discrete Groups about?

1 (p1): 1.Cyclic,Dicyclic and Metacyclic Groups 1 (p1-1): 1.1 Generators and relations 2 (p1-2): 1.2 Factor groups 3 (p1-3): 1.3 Direct products 5 (p1-4): 1.4 Automorphisms 6 (p1-5): 1.5 Some well-known finite groups 7 (p1-6): 1.6 Dicyclic groups 8 (p1-7): 1.7 The quaternion groups 8 (p1-8): 1.8 Cyclic extensions of cyclic groups 11 (p1-9): 1.9 Groups of order less than 32 12 (p2): 2.Systematic Enumeration of Cosets 12 (p2-1): 2.1 Finding an abstract definition for a finite group 14 (p2-2): 2.2 Examples 17 (p2-3): 2.3 The corresponding permutations 17 (p2-4): 2.4 Finding whether a given subgroup is normal 17 (p2-5): 2.5 How an abstract definition determines a group 18 (p3): 3.Graphs,Maps and Cayley Diagrams 19 (p3-1): 3.1 Graphs 19 (p3-2): 3.2 Maps 21 (p3-3): 3.3 Cayley diagrams 23 (p3-4): 3.4 Planar diagrams 24 (p3-5): 3.5 Unbounded surfaces 28 (p3-6): 3.6 Non-planar diagrams 31 (p3-7): 3.7 SCHREIER'S coset diagrams 33 (p4): 4.Abstract Crystallography 33 (p4-1): 4.1 The cyclic and dihedral groups 33 (p4-2): 4.2 The crystgallographic and non-crystallographic point groups 35 (p4-3): 4.3 Groups generated by reflections 38 (p4-4): 4.4 Subgroups of the reflection groups 40 (p4-5): 4.5

Author

H.S.M.Coxeter and W.O.J.Moser

Publisher

Springer-Verlag

Published

1957

Language

EN