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| Zieschang S. — Finite Groups of Mapping Classes of Surfaces |
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| Предметный указатель |
Abstract kernel 45
Affine equivalent 105
Amalgamating coefficient 189
Angle (hyperbolic) 17
Area formula 23
Area of discontinuity 31
Attracting fixed point 15
Avarage length 228
Axis, simple 215
Boundary axis 206
Boundary operator 50
Canonical presentation 35
Canonical system 150
circle 11
Class of marked tori 70
Cochain 50
Cohomology group of A 50
Cohomology group of a cyclic group 53
Conformal equivalent 68 151
Congruent 215
Cross cut 228
Cross ratio 11
Crystallographic group 104
Decomposable 156
Decomposition theorem 154
Dirichlet region 75
Discontinuous 31
Distance 17
Elliptic transformation 10 25
Empty fixed point class 258
END 17
Equivalent extensions 45
Equivalent tori 71f
Exceptional point 33 141
Extensions 44—62
Extensions, effective 5 255
Extensions, geometrical 255
Factor surface 141 143
Factor surface, decomposable 156
Finite type 2
Fricke moduli 193
Frobenius congruences 128
Fuchsian groups 38
Fundamental region 31 69
Geometrical extension 255
Geometrical presentation 32
Geometrically equivalent 105
Geometrically induced 36
Group extension 44
Hauptgebiet 206
hole 141 148
Homeotopy class 4 36
Homeotopy group 4 36
Hyperbolic geometry 17—30
Hyperbolic hole 38 141
Hyperbolic transformation 10 26—30
Indecomposable 156
Index of a fixed point 259
Index of a fixed point, class 260
Infinitesimal measure 22
Line 17
Linear fractional transformation 10
Loxodromic 10
| Main region 206
Mapping class 4
Marked factor surface 151
Marked Fuchsian group 151
Marked torus 70
Marked torus, group 70
Matrix part 101
Minimal basis 125
Modular problem 67
modular system 158
Modulus, moduli 70 162—186
Motion 18
NEC-group, non-euclidean crystallographic group 38
Nielsen Realization Problem 5 255
Normal cross cut 228
Obstruction 56
Parabolic hole 10 25
Parabolic transformation 10 25
Period 68
Picard group 64
Pinch 148
Positive systems 149
Presentation of an extension 44
Presentation, canonical 35
Presentation, geometrical 32
Q-homotopic 142
Q-homotopic, freely 142
Q-homotopy group 143
Reflection, topological 32
Regularity interval 207
Repelling fixed point 15
Riemann — Hurwitz formula 41 257
Rotation part 101
S-disjoint 215
s-equivalent 215 258
S-simple axis 215
S-simple cross cut 229
Schwarz's lemma 14
Selberg Lemma 37
Semi-triangle group 267
Shift length 26 242f
Signature 38
Smith fixed point theorem 198
Solvable group 199
Symmetry of Fuchsian group 191
System of cuts 34
Teichmuller space 152 190
Theorem of Baer 3 36
Theorem of Bieberbach 104 105
Theorem of Eckmann — Mueller 7
Theorem of Epstein 3
Theorem of Fenchel 6 199
Theorem of Jordan 105
Theorem of Kerckhoff 7
Theorem of Minkowski 106
Theorem of Nielsen 3 6 36 241 245
Theorem of Poincare 39
Theorem of Smith 198
Theorem of Zassenhaus 106
Topological reflection 32
Translation part 101
Unimodular group 71
Zassenhaus equations 130 134f
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