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| Lyndon R., Schupp P. — Combinatorial Group Theory (Classics in Mathematics) |
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| Предметный указатель |
Klein, F. 114 167
Kleinian group 167
Kneser, M. 92 141
Knot 99 162 267
Knot projection 268
Knot, elementary 269
Knot, standard 270
Koenig's lemma 59
Kostrikin, A.I. 93
Krause, H.U. 98
Kraveltz, S. 145 146
Krol, M. 15
Kttnig, D. 59
Kuhn, H.W. 15 85
Kurosh subgroup theorem 67 120 178
Kurosh, A.G. 14 15 28 67 71 84 120 178
Kuznetsov, A.V. 191 216 230
Label 236 237
Labeling function 123
Lagrange, J.L. 217
Lambda computable 217
Laudenbach, F. 50
Law 108
Layer Theorem 264
Lazard, M. 70
Leech, J. W. 92 141
Length 2 176 185 240 274
length function 65
Lentin, A. 52 63
letter 2 274
Levi, F.W. 13—15 141
Lickorish, W.B.R. 145
Lie dimension subgroup 69
Lie ring 69
Linear fractional group 10 143
Link 99
Lipschutz, S. 10 110 206 281 282
Lloyd, E.K. 144
Locally convex 170
Locally finite 170
Locally free 14
Lorents, A.A. 65
Lyndon, R.C. 13 15 22 30 51 52 55—58 64 66 68 97 100—102 104 105 108 110 111 121 129 138 141 143 151 152 156 158 159 163 167 236 243 252 259 275 294
L—polynomial 96
Macbeath, A.M. 92 125 133 141 143 147 167 168
Macdonald, I.D. 93
Macintyre, A. 231 234
Maclachlin, C. 48
MacLane, S. 101 102 110 118 120
Magnus subgroup 203
Magnus, W. 2 14 26 28 43 44 48—50 52 68—70 87 90 94—96 101 103—108 110 111 145 152 187 198 200 203
Mahler, K. 52
Malcev, A.I. 44 65 197
Malnormal 203
MAP 236
Mapping class group 48
Markov property 192
Markov, A.A. 146 192
Maschke, H. 125
Maskit, B. 167 168
Massey, W.S. 58 121 180
Matiyasevich, Y.V. 217
Maximum principle 129
McCool, J. 24 30 35 42 43 45 47 48 85 96 106 109 143 145 198 282
McDonough, T. 52 55
McKinsey, J.C.C. 195
Measure 132 140
Mendelsohn, N.S. 97 110
Mennicke, J.L. 88 92 93 143 170 173
Meskin, S. 25 110 196
Metzler, W. 96
Mikhailova, K.A. 12 193 194
Miller, C.F.III. 89 190 194 197 230 283 294
Miller, G.A. 91 92
Millington, M.H. 141
Milnor, J. 98 99
Minimal sequence, small cancellation for 271
Mochizuki, H.Y. 30 67
Modified Cayley complex 134
Modified presentation 134
Moldavanskii, D.I. 11 109 198
Moran, S. 69
Morse theory 49
Morse, M. 49
Moser, W.O.J. 24 25 43 91 93 164
Mostowski, A.W. 24 27
Multiplicator 93 98
Murasugi, K. 108
Nagao, H. 173 213 214
Neumann, B.H. 8 24 43 49 57 65 67 71 84 86 88 91 93 95 96 98 106 121 178 181 188 197 215 228 231 234 282
Neumann, H. 22 74 50 65 71 83—85 95 96 109 178 181 188 206 212 215 282
Neumann, P.M. 24 50 177
Neuwirth, L.P. 61 146
Newman, B.B. 106 109 110 203 205 206
Newman, M. 52 55 56 168
Nielsen transformation 5 85
Nielsen transformation, regular, singular 5
Nielsen — Schreier Subgroup Theorem 7 8 111 119
Nielsen, J. 4 5 8 14—16 21 24 25 28 30 43 44 48 58 66 67 71 92 95 103 111 112 114 118 141 143 145 156
Nivat, M. 52 67
Non-archimedean element 66
Non-euclidean crystallographic group (NEC) 98 125 134 146
Normal form 175 181 274 285 291
Normal form for amalgamated product 72
Normal Form Theorem for amalgamated products 94 187
Normal Form Theorem for free products 175
Normal Form Theorem for HNN Groups 181 182
Novikov, P.S. 88 214
N—reduced (Nielsen reduced) 5
Ojanguren, M. 101 161
One-relator group 293
Papakyriakopouios, C.D. 162
Parametric word 64
Passi, I.B.S. 69 70
Path 115 236
Path, boundary 115
Path, category of 116
Path, closed 236
Path, cyclic 115
Path, reduced 115 236
Path, simple 115 236
Peczynski, N. 30 71 91 92 95 145 146
Peiffer transformation 156 160
Periffer, R. 156 157 160
Petresco, J. 93
Pietrowski, A. 30 71 85 92 96 98 101 106 146
Piollet, D. 52 63
Place 240 275 286 291
Planar Cayley complex 124
Poincare conjecture 195
Poincarl, H. 98 114 133 167 195
Presentation 87
Presentation, balanced 92
Presentation, Finite 215
Presentation, minimal 93
Presentation, recursive 215
Pressburger, N. 51
primitive 107
Product of groups 280
Projective 2
Purzitsky, V. 71 85 92 95 96 146 168
Quadratic set of words 58
Quasifree, almost quasifree 95
R-diagram 239
R-group 64
Rabin, M.O. 89 190 192
Rank 85 91 146
Rankin, R.A. 141
Rapaport, E.S. 30 91 92 94
RECURSIVE 88 217 218
| Recursive presentation 215
Recursively enumerable 88 217 218
Reduced 181 185
Reduced diagram 156 241
Reduced form 275
Reduced sequenc 157 175
Reduced word 3
Reduction 156
Ree, R. 110 168
Reflection 146 147
Reidemeister — Schreier Theorem 102 142
Reidemeister, K. 101—103 110 114 142 156 252 268
Relation matrix 91 99 100
Relation, module 100 158 161
Relator 87
Remeslennikov, V.N. 64
Remmers, J.H. 294
Remnant 249
Representation 67 70 161
Representation, permutation 163
Residually finite 110 141 143 195 196
Retract, retraction 2
Riemann — Hurwitz formula 15 17 52 98 138 140 142
Riemann, B. 15 17 52 98 138 140—142
Rips, I.A. 69
Romankov, V.A. 64
Romanovskii, N.S. 64
Root 125
Rope Trick, Higman 219
Rosenberger, G. 30 71 84 91 92 95 96 146 168
Rothaus, O.S. 50
R—reduced 251
R—reduced, cyclically 251
Sacerdote, G.S. 51 110 291
Sah, C.-H. 141
Sanatani, S. 61
Sandling, R. 68—70
Sanov, I.N. 167 168 195
Schenkman, E. 51 93
Schiek, H. 105 161 252
Schreier formula 15 16 164
Schreier rewriting process 86 104
Schreier transversal 16 20 103
Schreier, O. 5 8 15 16 86 96 102 103 111 118 142 164 175
Schubert, H. 270 271
Schuetzenberger, M.P. 13 51 56 57 108
Schupp, P.E. 48 65 109 110 143 156 162 163 190 197 198 253 263 268 283 285 291 294
Schur, I. 93
Scott, G.P. 96 146
Scott, P. 46
Scott, W.R. 228
Seifert, H. 120 122 180
Seifert-van Kampen theorem 120 122 151 152 180
Selberg, A. 143
Semigroup 294
Serre's Conjecture 213
Serre, J.-P. 67 86 96 98 102 141 170 173 212—214
Sewing up 151
Seymour, J.R. 110 282
Shafarevich, I.R. 93
Shapiro, J. 63 110
Shchepin, G.G. 12
Shenitzer, A. 46 107
Simple group 189—191 291
Singerman, D. 141
Single defining relation 89 104 111
Singular annulus 156
Singular disc 150
Singular sphere 150
Singular subcomplex 149
Sinkov, A. 92
Sixth-group 241
Small cancellation 10 97 235
Small cancellation for minimal sequences 271
Small cancellation products 280 281
Smythe, N. 71 84 114 116
Solitar, D. 2 19 20 26 43 44 48 50 52 58 61 71 85—87 93 96 98 103 104 106—109 114 124 130 137 145 147 161 187 197 200 212
Solvable problem 88
Sonn, J. 63 110
Speiser, A. 25
Spelling Theorem 205
Sphericity 98
SQ—universal 282 289 292 293
Stabilizer 43 47
Stable letter 179
Staggered 94 152 161
Stallings, J.R. 51 57 67 95 101 102 110 121 146 159 169 178 206 209 213
Stammbach, U. 93 95 101
Star graph (coinitial graph) 31 61 126
Stebe, P. 14 27 110 141 143
Steinberg, A. 52 57 107
Stevens, R.S. 146
Strictly planar 130
Structure Theorem for Annular Diagrams 254
Substitution problem 65
Sunday, J.G. 92
Svark, A.A. 98
Swan, R.G. 88 93 97 101 102 111 159 169
Swierczkowski, S. 168
Symmetrized basis 117
Symmetrized set of relators 239 240 275 286 291
Takahasi, M. 13 15
Tarski, A. 51
Tartakovskii, V.A. 252
Taylor's formula 68
Taylor, B. 68
Taylor, T. 25—27 108
Thompson, R.J. 191
Three-manifold 96 146 194
Threlfall, W. 114
Thurston, W.P. 49
Tietze transformation 89 100
Tietze, H. 89
Tits, J. 167—169
Todd — Coxeter method 164
Todd, J.A. 164
Topping, I.M. 13 22 29
Torsion 9 107
Torsion in one-relator groups 200
Torsion Theorem 281
Torsion Theorem for amalgamated products 187
Torsion Theorem for free products 177
Torsion Theorem for HNN Extensions 185
TREE 117
Tree, group acting on 173
Tretkoff, M. 17 114
Triangle condition 252
Triangle group 92 141
Truffault, B. 10 282
Tukia, P. 147 169
Turing machine 217
Ullman, J.L. 167
Valiev, M.K. 218 221
Van der Waerden, B.L. 3 176 183
van Kampen, E.R. 120 122 151 152 180 236 252
Variety of groups 109
Vasquez, A.T. 102 159
Vaught, R.L. 51 52
Verdoer, J.-L. 98 141
Vogt, E. 103 114 118 120 124 125 130 141 142 144 145 147
Volvachev, R.T. 25
Wagner, D.H. 86 121
Waldhausen, F. 30 92 268
Wall, C.T.C. 98 101 141
Wamsley, J.W. 93 95 168
Wehrfritz, B.A.F. 168
Weinbaum, C.M. 109 152 162 236 252 268 270
Whitehead automorphism 31 61
Whitehead's Theorem 30 35
Whitehead, J.H.C. 30 31 106 107
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