Characters and Automorphism Groups of Compact Riemann Surfaces, Issue 280

Front Cover
Cambridge University Press, Sep 21, 2000 - Mathematics - 199 pages
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.
 

Contents

III
1
V
4
VI
7
VII
18
VIII
20
IX
22
XI
25
XII
28
XXX
95
XXXI
105
XXXII
112
XXXIII
119
XXXIV
120
XXXV
126
XXXVI
131
XXXVII
134

XIII
29
XV
35
XVI
38
XVII
41
XVIII
43
XIX
45
XXI
47
XXII
62
XXIII
64
XXIV
72
XXVI
81
XXVII
84
XXVIII
92
XXXVIII
138
XL
154
XLI
159
XLII
160
XLIII
164
XLIV
173
XLVI
175
XLVII
176
XLVIII
179
XLIX
184
LI
189
LII
196
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