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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Characters and Automorphism Groups of Compact Riemann Surfaces
• Author: Thomas (Rheinisch-Westfalische Technische Hochschule Aachen) Breuer
• Language: English
• Binding: Paperback
• Number of pages: 212
• EAN: 9780521798099
• ISBN: 0521798094
• ID: 02043764
• Publisher: Cambridge University Press
• Weight: 302 g
• Dimensions: 227 × 150 × 10 mm
• Date of publishing: 21. September 2000

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