Characters and Automorphism Groups of Compact Riemann Surfaces

Name: Characters and Automorphism Groups of Compact Riemann Surfaces
Author: Thomas Breuer

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Paperback, 212 blz. | Engels

Cambridge University Press | e druk, 2000

ISBN13: 9780521798099

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Cambridge University Press e druk, 2000 9780521798099

Onderdeel van serie London Mathematical

40,13

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This book deals with automorphism groups of compact Riemann surfaces, of genus at least two, viewed as factor groups of Fuchsian groups. The author uses modern methods from computational group theory and representation theory, providing classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.

Specificaties

ISBN13:9780521798099

Taal:Engels

Bindwijze:Paperback

Aantal pagina's:212

Uitgever:Cambridge University Press

Serie:London Mathematical

Inhoudsopgave

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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