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Characters and Automorphism Groups of Compact Riemann Surfaces (London Mathematical Society Lecture Note Series), by Thomas Breuer
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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.
- Sales Rank: #3880651 in Books
- Published on: 2000-10-09
- Released on: 2000-09-21
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .47" w x 5.98" l, .65 pounds
- Binding: Paperback
- 212 pages
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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