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Characters and Automorphism Groups of Compact Riemann Surfaces : London Mathematical Society Lecture Notes - Thomas Breuer

Characters and Automorphism Groups of Compact Riemann Surfaces

London Mathematical Society Lecture Notes

Paperback

Published: 20th November 2000
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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.

'... 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

Preface
Notation
Compact Riemann surfaces
Group characters
Automorphisms of compact Riemann surfaces
Generation of groups
Classification for small genus
Classification for fixed group: real characters
Classification for fixed group: nonreal irrationalities
Abelian inariants
Irreducible characters
Maillet's determinant
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521798099
ISBN-10: 0521798094
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 212
Published: 20th November 2000
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.06 x 31.34  x 1.14
Weight (kg): 0.3