Description

Book Synopsis
Using modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.

Trade Review
'… by bringing together a number of very effective techniques, and by presenting a mass of specific evidence, Breuer has done the mathematical community a considerable service … the presentation of the material is excellent, with attractive layout … a valuable addition to the literature, which should be essential reading for anyone interested in the connections between Riemann surfaces and finite groups.' G. Jones, Proceedings of the Edinburgh Mathematical Society

Table of Contents
Preface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.

Characters and Automorphism Groups of Compact Riemann Surfaces 280 London Mathematical Society Lecture Note Series Series Number 280

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    A Paperback by Thomas Breuer

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      View other formats and editions of Characters and Automorphism Groups of Compact Riemann Surfaces 280 London Mathematical Society Lecture Note Series Series Number 280 by Thomas Breuer

      Publisher: Cambridge University Press
      Publication Date: 9/21/2000 12:00:00 AM
      ISBN13: 9780521798099, 978-0521798099
      ISBN10: 0521798094
      Also in:
      Complex analysis, complex variables Geometry Topology

      Description

      Book Synopsis
      Using modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.

      Trade Review
      '… by bringing together a number of very effective techniques, and by presenting a mass of specific evidence, Breuer has done the mathematical community a considerable service … the presentation of the material is excellent, with attractive layout … a valuable addition to the literature, which should be essential reading for anyone interested in the connections between Riemann surfaces and finite groups.' G. Jones, Proceedings of the Edinburgh Mathematical Society

      Table of Contents
      Preface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.

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