Coxeter H.S.M., Moser W.O.J. — Generators and Relations for Discrete Groups :: Электронная библиотека попечительского совета мехмата МГУ

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Coxeter H.S.M., Moser W.O.J. — Generators and Relations for Discrete Groups

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Название: Generators and Relations for Discrete Groups

Авторы: Coxeter H.S.M., Moser W.O.J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1972

Количество страниц: 161

Добавлена в каталог: 04.06.2008

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Предметный указатель

Abelian group      3 4 8
Abstract definition      1 14 17 18 134—138 140—142
Adjan, S.I.      81
Affine collineation      83 92
Affine collineation, reflection      119—121 131—133
Alternating group $\mathfrak{U}_4$       7 17 22 34 67 94
Alternating group $\mathfrak{U}_5$       14 34 67 68 94 125
Alternating group $\mathfrak{U}_n$       62 66 67 126 137
Artin, E.      61—64 131
Automorphism      5 8
Automorphism of $\mathfrak{C}^n_{\infty}$       88 90
Automorphism of a map      101
Automorphism of the free group gn>      89 90
Baer, R.      3 19 81 82
Baker, H.F.      125
Baker, R.P.      39 104
Ball, W.W.R.      20 24 102 107
Bambah, R.P.      66
Basic invariants      130
Behr, H.      94
Below, N.W.      35
Belowa, E.N.      35
Bibliography      143—156
Bilateral symmetry      33
Bilinski, S.      103
Binary polyhedral groups      68 69
Bitangents of a plane quartic      128
Blichfeldt, H.F.      1 8 11 12 18 98 124
Bohnenblust, F.      62
Brahana, H.R.      101 102 110 113 114 116 140
Braid group      62 63
Branch      19
Bundgaard, S.      133
Burckhardt, J.J.      35 40
Burns, J.E.      12
Burnside, W.      3 12 17 19 21 38 39 48 50 62—64 67 75 80 81 82 94 97 101 105 106 108 109 116 121 124 133 137
Burnside’s problem      80—82
Bussey, W.H.      97
Carmichael, R.D.      8 9 11 12 16 17 64 66 67 92 93 98 99
Cartan, E.      121 122 132
Cartesian coordinates      65 86 103
Cayley diagram      21 23 26 29 36 38—40 56 58 61 65—67 88 104 105
Cayley diagram of $\mathfrak{D}$       22 29
Cayley diagram of $\mathfrak{D}_3\cong\mathfrak{G}_3$       22
Cayley diagram of $\mathfrak{U}_4$       22
Cayley, A.      12 18 19 21 23
Central inversion      34 39 84 127
Central inversion, quotient group      84 127—129
Centre      5 10
Centre of a linear group      92
Centre of symmetry      40
Characteristic equation      119 120 129
Chen, K.T.      3
Chevalley, C.      130 131
Chow, W.      62 63
Circuit      19 23 28
Coble, A.B.      102 110 113
Cohn-Vossen, S.      20 24—27 58 61 112
Coleman, A.J.      130
Commutator      10 54
Commutator, quotient group      2 10
Commutator, subgroup      10 81 86 124—126
Complete reducibility      121
Complex regular polygon      79 80
Configuration      79 123
Congruent transformation      33 34;
Congruent transformation, elliptic 3-spaces      128
Connected graph      19 23
Conway, J.      99 100
Coset      12
Coset, diagram      31 32
Covariant coordinates      131
Covering surface      20 102
Cox, H.      123
Coxeter, H.S.M.      2 6 8 12 13 16 29 32—35 37—39 41 45—50 53 54 59 60 62 64—70 75 79—81 96—107 109—113 116—118 121—133 135 137 140
Crystal classes      35
Crystallographic point groups      34 35 131
Crystallographic point groups, restriction      121
Cubic surface      124
Cyclic group $\mathfrak{C}_n$       1 3 6 8 33 34
da Vinci, Leonardo      33
Davenport, H.      66
Dedekind, R.      8
Defining relations      1 14 17 18 134 136—138 139 142
Dehn, M.      19 25
Dehnsches Gruppenbild      19
Dickson, L.E.      1 8 11 12 18 83 92 93 98 99 125 128 129 131
Dicyclic groxtp <2, 2, m>      7 9 12 69 106
Dieudonne, J.      83 93 125 129
Dihedral group $\mathfrak{D}_q$       6 9 11 33 34 36 118
Direct product      3 4
Dolivo-Dobrovolsky, V.V.      35
Du Val, P.      128 129
Dual map      20 26 37
Dyck, W.      41 55 67 94 101 105 108 116 137
Dyck’s groups      54
Dye, D.S.      33
Eddington, A.      131
EDGE      19
Edge, W.L.      95
Edmonds, J.R.      103
Elliptic space groups      128
Embedding a graph      20
Enumeration of cosets      12—14 31
Equiaffine collineation      84 88
Errera, A.      101 102 111 116
Escher, M.C.      45
Euclidean tessellation      53
Euclidean tessellation, metric      121
Euler — Poincare characteristic      20 58 61

Euler, L.      20 21
Even subgroup      124 125
Exponents of a product of reflections      129 141
Extended polyhedral groups [p, q]      118
Extreme quadratic forms      124
Face      19
Factor group      2 4
Fedorov, E.S.      40 66
Fejes Toth, L.      41
Ford, L.R.      34 86
Four-group $\mathfrak{D}_2\cong (2, 2, 2)$       6
Fox, R.H.      3
Frasch, H.      86 94 95 100
Free group $\mathfrak{F}_m$       3 89
Fricke, R.      37 40 53 87 102 136
Fruchx, R.      5 117
Fryer, K.D.      99
Fundamental circuits      19 20 23 28
Fundamental circuits, group      24—26 28 58 61
Fundamental circuits, region      37 39 40 63—56 65 88 102 121 132
Garbe, D.      100
General linear homogeneous group, GL(n, q)      92
Generalization of polyhedral groups      67—80
Generator      1 3 28
Genus      24 61
Glide-reflection      56
Goursat, E.      128 129
Graph      19 21
Graphical notation for reflection groups      118 141 142
Green, J.A.      82
Group of a map      101
Group of a map, generated by reflections      35 117—133 141
Group of a map, of exponent n      80
Group of a map, of rotations      34
Grun, O.      82
Hadamard, J.      101
Hall, M.      3 11 12 101
Hall, P.      12 80—82
Hamill, C.M.      129
Hamilton, W.R.      8 67 137
Hamiltonian group      8
Harmonic homology      133
Heawood graph      117
Heawood, P.J.      101 107
Heesch, H.      40
Heffter, L.      11 101 104
Henry, N.R.M.      35 40 51
Hermann, C.      35 40 128 135 136
Hess, E.      33 34
Hessel, J.F.C.      33
Hessian group      98
Higman, G.      81 82
Hilbert, D.      20 24—27 58 61 112
Hilton, H.      8
Hinton, C.H.      65
Homomorphism      2
Homotopic circuits      24
Hua, L.K.      84—86
Hudson, R.W.H.T.      129
surface      19—31 43 56—61 “Non-orientable” “Orientable” “Riemann”)
Sylow subgroup      11
Symmetric group $\mathfrak{G}_4$       7 112
Symmetric group $\mathfrak{G}_n$       61 63—66 89 122 137
Symmetrical embedding      23
Symmetrical embedding graph      117
Symmetry group      33 37 53 65
Symmetry group, operation      33
Table of cosets      14
Tessellations      52 102 111
Tetrahedral group, $\mathfrak{U}_4\cong[3,3]^+\cong(2, 3, 3)$       7 22 34 68
Thomsen graph      22 117
Threlfaix, W.      20 24 26 29 53 55 58 61 68 71 101—103 110 115 128 140
Tietze, H.      101 112
Tits, J.      99 132
Tobin, S.      81
Todd, J.A.      12 13 16 66 79 88 90 95 100 116 118 123—125 130 133 137
Torus      24 25 29 43 101—109 117
Translation      59
Translation group      40 60 61 66
TREE      19
Tritangent planes of a twisted sextic      129
Trott, S.      85
Truncated tetrahedron, t{3, 3}      22 38
Two-faced maps      113
Unbounded surface      19
Unimodular group $\mathfrak{M}_2$       85
Unimodular group $\mathfrak{M}_3$       91
Unimodular group $\mathfrak{M}_n$       84
Unitary reflection      133
Unitary reflection, groups      76—79
Universal covering      26 27 103
Van der Waerden, B.L.      see “Waerden”
Veblen, O.      120 133
Vertex      19
Voronoi, G.      66
Waerden, B.L.van der      80 84 92 93
Watson, J.      16
Weber, H.      11 98
Wells, A.F.      33
Weyl, H.      33 34 135
Whitney, H.      20
Whitrow, G.J.      54 133
Witt, E.      82 99 122
Word      21 23 28
Young, A.      90
Young, J.W.      120 133
Z-metacyclic      11
Zassenhaus, H.      8 10 11 34 81 82 95 99
ZOLOTAREFF, G.      124
ZS-metacyclic      11
“Bounded periods” problem      82

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