Lyndon R., Schupp P. — Combinatorial Group Theory (Classics in Mathematics) :: Электронная библиотека попечительского совета мехмата МГУ

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Lyndon R., Schupp P. — Combinatorial Group Theory (Classics in Mathematics)

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Название: Combinatorial Group Theory (Classics in Mathematics)

Авторы: Lyndon R., Schupp P.

Аннотация:

From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1977

Количество страниц: 350

Добавлена в каталог: 23.08.2014

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Предметный указатель

$K(\pi,n)$       118
$\mathbf{PSL(2,R)}$       10
Adjunction problem      105
Adyan, S.I.      10 89 99 192
Akagawa, Y.      93
Alexander polynomial      100
Alexander, J.W.      100
Algebraically closed      227 228
Alternating knot      274
Amalgamated product      65 71 98 168 173 178 212 285
Amalgamated subgroup      179
Andreadakis, S.      28 68 95 49 99 145
Andrews, J.J.      92
Angle measure      138
Annular map      253
Anshel, M.      110
Appel, K.I.      65 162 268
Area measure      138
Area theorem      260
Artin, E.      3 45 176 183
Aselderov, Z.M.      65
Aspherical      156 159 161
Associated subgroup      179
Augmentation ideal      see "Fundamental ideal"
Augmentation map      100
Aumann, R.J.      162
Aust, C.      107
Autohomeomorphism group      145
Automorphism      21 196
Automorphism, IA      25
Automorphism, proper      28
Bachmuth representation      29
Bachmuth, S.      25 28—30 67 95
Bagherzadeh, G.H.      203
Balanced presentation      92
Ball      128 170
Base group      179
Basis      1
Bass, H.      67 99 173
Baumslag, B.      20
Baumslag, G.      25—27 51 52 57 93 96 108 110 196 197
Beetham, N.J.      88
Behr graph      170
Behr, H.      88 92 170 172 173
Benign      219
Benson, C.T.      133
Binding tie      122
Bipolar structure      169 206
Birman, J.S.      13 23 29 49 99 145
Blackburn, N.      27
Blance, C.      243
Blocking pair      289
Bonnet, O.      138
Boone, W.W.      88 191 214 215 231 234
Boundary cycle      150 236
Boundary edge      241
Boundary label      150
Boundary layer      260 263
Boundary path      150
Boundary region      241
Boundary vertex      241
Brahana, H.R.      92
Brenner, J.L.      65 168
Britton's lemma      181 182 184 197 294
Britton, J.L.      88 181 252 282
Brown, K.S.      98 141
Brunner, A.M.      96
Bums, R.G.      15—18 71 85 92 111 146
Bungaard, S.      143
Burnside group      10
Burnside, W.      10 24 136
Camm, R.      189
Campbell, C.M.      97
Cannonito, F.B.      106
Cartesian subgroup      15
Casson, A.      50
Cayley complex      114 123
Cayley complex, planar      124
Cayley diagram      58 113 123
Cayley, A.      114 123 124 134
Cencellation      4 5 72 176 274 286 291
Cencellation theory, geometric      5
Cencellation theory, linear      5
Center      108
centralizer      10
Chang, B.      25 168
Characteristic, Euler — Poincare      98
Characterization theorem for bipolar structures      210
Charnow, A.      168
Chebotar, A.A.      109
Chein, O.      29 30 95
Chen, K.T.      68
Chipman, J.C.      86 114
Chiswell, I.M.      15 67 86 98 141
Church — Turing thesis      217
Church's thesis      217
Church, A.      217
Co-hopfian      14 283 285
Cohen, D.E.      70 86 121 159 161 163 177
Coherent      96
Cohn, P.M.      2
Cohomological dimension      101 159
Cohomology      99 100
Coinitial graph      31 61
Coldewey, H.—D.      103 114 118 120 124 125 130 141 142 144 145 147
Collection process      64
Collins' lemma      185 294
Collins, D.J.      89 168 185 187
Colour group      123
Combination theorem      167
Comerford, L.P.Jr.      10 110 282
complete      283
COMPLEX      115
Condition $C(\lambda)$ , $C'(\lambda)$ , T(q)      240 286 291
Condition J      279
Conjugacy diagram      254
Conjugacy separability      27
Conjugacy Theorem for Amalgamated Products      187
Consequence      87
Consolidation      72 176 275 286
Conway, J.H.      97 168
Coproduct      175
Coryugacy problem      9 88 235 252 256 262 265 274 279 294
Coset diagram      163
Coset enumeration      164
Covering      118
Covering space      114
Covering, unbranched      118
Coxeter, H.S.M.      24 25 43 91 92 164
Craig, W.      151
Crowell, R.H.      70 99 114 116 268
Curkin, V.A.      64
Curran, P.M.      146
Curtis, M.L.      92
Curvature      138 139
Curvature Formula      245 246
Curvature of a manifold      99
Cyclic word      30
Cyclically reduced      176 185 286
Davis, M.      218
de Groot, J.      168
Decision problem      192
Defect      see "Deficiency"
Deficiency      93 97
Defining relation      87
Dehn presentation      269 271
Dehn's algorithm      161 246 251 252 278 289
Dehn, M.      44 88 104 114 152 161 235 246 251 252 269 278 289
Derived relator      273
Detachment      151

Determinantal ideal      100
Dey, I.M.S.      92
Diagram      150 236 242
Diagram, annular      156
Diagram, coset      163
Diagram, minimal      241
Diagram, reduced      153 156 241
Diagram, simple      150
Diagram, spherical      150 156
Dimension subgroup      68
Dimension subgroup, Lie      69
Dimension subgroup, modular      70
Diophantine      217
Distance function      170
Distance in a graph      128
Divisible      189
Dixon, J.D.      167
Doniyakhi, K.A.      168
Douglas, J.      91
Dual      134 263
Dunwoody, M.J.      96 101
Dyck, W.      114 136
Dyer, E.      102 159
Dyer, J.L.      24 46
Dyson, V.H.      195 196
Edmunds, C.C.      65
Effextive      217
Eighth-group      241
Eilenberg, S.      101 102 110 118
Elementary language      51
Elementary theory      51
Elementary transformation      2
Embedding theorem      188
Emerson, W.      97
Empty word      2
Equation in free group      64
Equation over group      49
Euler — Poincare characteristic      98
Euler, L.      98
Extremal disk      247
F-group      126 146
Federer, H.      8 12 14 43 106
Fenchel, W.      143
Feuer, R.D.      143
Fiala, F.      243
Fibonacci group      97
Finitely generated      88
Finitely presented      88
Finitely related      88
Fischer, J.      86 108
Ford, L.R.      167
Formanek, E.      24
Fouxe—Rabinovitch, D.I.      28 68 168
Fox calculus      22 67 68 70 99
Fox derivative      29
Fox jacobian      22 29
Fox, R.H.      22 29 67 68 70 99 110 143 268
Free factor      12
Free group      1
Free product      12 167 174 274
Free product with amalgamation      see "Amalgamated product"
Free resolution      97 100 159
Freiheitssatz      94 97 104 111 152 198 294
Fricke, R.      114
Fridman, A.A.      89
Frucht, R.      93
Fuchsian complex      114 133
Fuchsian group      30 58 71 85 91 108 126 133 167 275
Fundamental group      30 116 235 252
Fundamental groupoid      116
Fundamental ideal (augmentation ideal)      68 70 100
Fundamental region      167
Ganea, T.      102
Gap      265
Gatterdam, R.      106
Gauss — Bonnet formula      138
Gauss, C.F.      138
Generalized word problem      201
Generating problem      194
Generators and relations      87
Geodesic      170
Gerstenhaber, M.      50
Gildenhuys, D.      102 111
Goddel number      88 218
Godel, K.      88 218
Golod, E.S.      93
Goryushkin, A.P.      190
Gowdy, S.      282
Graph (1-complex)      115
Greenberg, L.      17 141
Greendlinger's Lemma      247 250 278
Greendlinger, M.D.      10 106 157 240 247 250—253 282
Griffiths, H.B.      114 141
Group diagram      123
Groupoid      86 116
Groupoid, fundamental      116
Growth, rate of      98
Gruenberg, K.W.      69 95 101 102 110
Gruppenbild      123
Grushko — Neumann theorem      67 84 91 106 107 121 178 193
Grushko, I.A.      8 67 71 84 86 91 106 121 178 193
H. Neumann Subgroup Theorem      83 212
Hail, M.Jr.      15 17 196 197 289
Hall, P.      64 141 190
Harrison, N.      67
Harvey, W.J.      48
Hatcher, A.E.      49
Higgins, P.J.      30 50 86 114 116 121
Higman Embedding Theorem      214 215
Higman Rope Trick      219
Higman, G.      26 65 69 88 92 93 95 96 141 178 181 188 189 191 197 214 215 218 231 234 282 285 291
Hilbert's tenth problem      217
Hilbert, D.      217
Hilden, H.      145
Hmelevskii, J.I.      65
HNN-extension (Higman — Neumann — Neumann extension)      50 65 98 169 174 178 221 285
Hoare, A.H.M.      9 43 52 58 61 114 124 125 1 30 137 141 146 147
Hopf, H.      14 101 197
Hopfian      14 195 197 285
Howson, A.G.      18
Hughes, I.      102
Huppert, B.      93
Hurwitz, A.      15 17 52 98 138 140—142
Identical relation      108
Identities among relations      101 156
Ihara, Y.      173
Imrich, W.      85
Incidence graph      58
Incompatible with free products      193
Infinite recursive presentation      230
Inner rank      52
Inner, outer, boundary      253
Inner, outer, boundary cycle      253
Interior degree, edge, region, vertex      242
Irreducible      209
Isomorphism problem      89
Jaco, W.      52 63 195
Jacobian      29 99
Jennings, S.A.      70 125 168
Johnson, D.L.      97
Jones, E.C.      93
Jonsson, B.      8 12 14 43 106
Justin, J.      99
Kalme, C.      169
Karrass — Solitar Subgroup Theorem      71 83
Karrass, A.      2 19 20 26 43 44 48 50 52 58 61 71 83 86 87 92 98 103 104 106—109 114 124 130 137 145—147 161 187 200 212
Keller, R.      147
Kervaire, M.      50
Kesten, H.      99
Klassen, V.P.      12

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