Items related to Characters and Automorphism Groups of Compact Riemann...

Characters and Automorphism Groups of Compact Riemann Surfaces (London Mathematical Society Lecture Note Series, Series Number 280) - Softcover

Breuer, Thomas

 
9780521798099: Characters and Automorphism Groups of Compact Riemann Surfaces (London Mathematical Society Lecture Note Series, Series Number 280)
Softcover
ISBN 10: 0521798094 ISBN 13: 9780521798099
Publisher: Cambridge University Press, 2000

Synopsis

The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides 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.

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Book Description

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. Suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.

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

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Publisher
Cambridge University Press
Publication date
2000
Language
English
ISBN 10 
0521798094
ISBN 13 
9780521798099
Binding
Paperback
Edition number
1
Number of pages
212