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| Chandler B., Magnus W. — The history of combinatorial group theory: a case study in the history of ideas |
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| Предметный указатель |
Abelian linear groups 31
Academies 59
action 165 169
Adelsberger, H. 44 144
Adjan (= Adian, Adyan), S.I. 47 48 154 161 190
Ado, I.D. 156
Alexander polynomial 94 135
Alexander, J.W. 134 135
Alexandroff, P.S. 28 102 108
Algebraic groups 43
Algebraically closed 115 184
Algorithm 55 162 181
Alternant 149 156
Artin, E. 10 91 102—104 122 123 125 133 152 175 176 177 195
Artzy, R. 91 92
Ascending chain condition 139
Augmentation ideal 131 148
Auslander, L. 139 166 179
Automorphism 72 148 203
Automorphism, class 82
Bachmuth, S. 130
Baer, R. 108 164 179 180 189 195 198
Baherzadeh, G. 118
Baker, H.F. 44 151 155
Bass, H. 36 87
Baumslag, G. 47 48 79 116 118 119 120 121 135 138 140 142 151 153 159 160 164 168 172 174 177 180 184 198 200 205
Behr, H. 31
Bers, L. 178 193
Betti groups 163 168
Betti number 14 15 167
Betti, E. 167
Bianchi groups 35
Bianchi, L. 13 33 37 194
Bierberbach, L. 34
Birkhoff, G. 137 138 150 156 158
Birman, J.S. 15 31 40 42 176 177
Blumenthal, O. 33 35
Bohnenblust, F. 177
Boone, W.W. 89 98 182
Bourbaki, N. 175 205
Boy, W. 67
Bracket arrangements 143
Bracket product 149
Braid groups 39 40 176
Brauner, K. 19 179
Britton's lemma 111
Britton, J.L. 111
Burau, W. 177 179
Burkhardt, H. 64
Burnside variety 157
Burnside's problem 47 152 153
Burnside, W. 7 22 24 25 43 44 45 47 48 54 55 56 59 62 63 76 142 204
Burrow, M.D. 148
Camm, Ruth 185
Campbell — Baker — Hausdorff formula 44 151 156
Campbell, J.E. 44 155
Cantor, G. 9 183
Cartan, E. 31
Cartan, Henri 205
Cayley diagram 22
Cayley, A. 22 23 24 25 27 53 59 63 162
Central extensions 164
Cernikov, S.N. 139
Chain conditions 139
Chains 167
Characteristic subgroups 141
Church, A. 182
Class field tower problem 125
Clebsch, A. 30 31 52
Coboundary 170
Cocycle 169 170
Cohn, P.M. 37
Cohomological dimension 172
Cohomology group 47 163 166 170
Colour group 22 24
Commutation 141
Commutator 143
Commutator, calculus 44 142
Complete product 160
components 143
Composition of groups 105
Concentration 201
Congruence subgroup property 36
Conjugacy problem 17 162 182
Continuous groups 43 154
Coset graph 97
Covering space 96 162
Coxeter groups 175
Coxeter, H.S.M. 8 22 99 175 194 200 204
Crelle, A.L. 61
Crowell, K.H. 94 179
Cyclically reduced 73
Darstellungsgruppen 46
de Seguier, J.-A. 8 47 76 163 194 202
Decision problems 55 181
Defining relations 9 73
Defining relators 73
Degree 149
Dehn Archive 114
Dehn's algorithm 21
Dehn's Lemma 18
Dehn, M. 9 15 17 18 19 20 21 24 25 26 27 39 40 48 53 54 55 57 60 61 76 82 84 89 93 94 113 114 162 178 181 182 183 194 195 197
Derivation 130 156
Derived series 144
Dickson, L.E. 31 43 54 66 154 194
Dietzman, A.P. 108
Dimension subgroup 147
Discontinuous 72
Discrete 72
Distinguished 71
Division ring 136
Divisor 71 72
Drillick, A. 37 38
Dyer, J.L. 88
Easton, B.S. 45 64
Edwards, H.M. 124
Eilenberg, S. 47 171 195
Elementary Nielsen transformations 84
Elliptic modular group 35
Endelyi, A. 143
Endormorphism 141 158
Ends of a group 163
Ends of topological groups 163
Engel conditions 153
Engel, F. 155
Enzyklopaedie (encyclopedia) 64 65 75 203
Equivalence classes 73
Equivalent 73 115 165
Euler, L. 54 59 200
Eulerian function 100
Existence theorem 73 108
Extension theory 163
Factor system 165
Federer, H. 84 89
Feit, W. 47
Fenchel, W. 81 90
Fine, B. 37
Finiteness condition 138
Fite, W.B. 143
Fixed-point problem 57 177
Flexner, A. 189
Formanek, E. 88
Fouxe-Rabinovitch, D.I. see "Fuchs-Rabinowitsch D.J."
Fox derivatives 130
Fox, R.H. 94 130 148 179
Frattini subgroup 45 56
Frattini, G. 45 56
Free differential calculus 130
Free generator 73 81 84
Free lie ring 149
| Free product 73 104
Free product with amalgamated subgroups 92 108
Freely reduced 20 73 83
Freeness theorem 113
Freiheitssatz 113
Freudenthal, H. 163 172
Fricke, R. 7 11 12 13 26 27 33 35 36 38 42 47 62 64 65 66 76 83 178 204
Frobenius, F.G. 34 45 46 54 56 76 138 144
Fuchs-Rabinowitsch, D.J.(= Fouxe-Rabinovitch, D.I.) 179 203
Fuchsian 38 47
Fully invariant 141
Fundamental group 14 17 20 40 82 93 162 179
Fundamental ideal 148
Fundamental region 72
Furtwaengler, Ph. 92 122—128 130 195
Gaschuetz, W. 48 49
General and effective procedure 55 181
General linear group 32
Generalized free product 108
Generalized word problem 116
Generating operations 6
Generators 9 73
Gerstenhaber, M. 115 189
Gieseking, H. 26 27 39
Goedel, K. 182
Golod, E, S. 125 127 128
Golovin, O.N. 107
Gordan, P. 30 31 52
Graph of a group 22
Graphical representation 22
Greendlinger, M. 21 27 162 202 203
Grossman, E.K. 88
Group extensions 92 163
Group tower 127
Groups of prime power order 44 141
Groups, acting on trees 112
Groups, generated by reflections 175
Gruen, O. 149 153
Gruenberg, K.W. 32 173 197
Gruppenbild 21 22 24 25 26 104
Gruppenkranz 160
Gruschko (= Grushko), I. 107
Gruschko — Neumann Theorem 106
Gupta, K.G. 130
Gupta, N.D. 130
Haken, W. 179
Halanay, A. 174
Hall, M. 89 120 130 151 164 173 195
Hall, P. 32 42 44 59 97 100 101 139—145 150 152 158 164 194 197
Hamilton, W.R. 63
Hasse, H. 124
Hausdorff, F. 44 151 155
Heegaard, P. 54 60 61
Hensel, K. 147 173
Higgins, P.S. 86
Higman, G. 45 94 110 112 120 181 183 185 197
Hilbert's modular group 35
Hilbert's tenth problem 185
Hilbert, D. 19 55 58 60 62 64 66 67 122 123 124 125 136 137 138 147 160 181 186
Hirsch, K.A. 45 139 195 197
HNN extensions 111
Hoare, A.H.M. 86 178
Hoelder, O. 163
Holohedral 72
Homology groups 163 167 168
Homomorphism 72
Hopf, H. 28 38 84 85 120 163 167 168 172 195
Hopfian 84 120 151
Horowitz, R. 42
Howe, R. 180
Hoyer, P. 48 49
Hua, L.K. 30 193
Humbert, M.G. 37 194
Humphreys, J.E. 43 156
Hurewitz, W. 95 97
Hurwitz, A. 33 39 40 40 61 146
Identitaetsproblem 17
identities 157
Ineinanderschiebung 11
Infinitesimal substitution 72
International congresses 19
Intersection 141
Invariant 141
Inverse 73
Inverse limit 173
Isomorphism 72
Isomorphism problem 17 120 121 182
Isomorphism theorem 105
Ito, N. 127
Iyanaga, S. 131—134 164
Jacobi identity 149 156
Jacobson, N. 150 152 156
Join 141
Jonsson, B. 84 89
Jordan — Hoelder theorem 36 45 93
Jordan, C. 44 51 52 63 128
Just infinite 34
Kaloujnine, L. 46 160 198 199
Kaplansky, I. 161
Karrass, A. 10 44 47 98 107 118 119 142 154 178
Kerber, A. 46
Kervaire, M. 34 179
Kleene, S.C. 182
Klein, F.(Felix) 11 12 13 27 33 34 35 37 38 42 47 51 52 53 60 66 83 103 105 178 196
Klein, Fritz 26 27
Kleinian groups 34
Kneser, H. 18 108 128
Knot groups 17 18 19 34 44 95 179
Knots 18 94 134 135 179
Koch, H. 125
Kostrikin, A.I. 153 154 190
Kovacs, L.G. 159
Kra, I. 178
Krasner, M. 46 160
Krull, W. 174
Kummer, E.E. 66
Kurosch, A.(= A.G. Kurosh) 10 37 50 102 105 106—108 139 163 179 194 195 204
Kurosh subgroup theorem 50 105
L-polynomial 134 135
Lagrange, J.L. 59
Landau, E. 206
laws 157
Lazard, M. 152 154 198 199
Lefschetz, S. 28
Length 73 84
Leron, U. 42
Level 35
Levi, F.(= Levi, F.W.) 47 89 97 137 107 108 142 148 159 195
Levin, F. 36
Liapaunoff, A.M. 66
Lickorish, W.B.R. 178
Lie algebras 44 175
Lie elements 149
Lie groups 43 93 175 184
Lie rings 148 149
Lie, S. 43 51 52 154 155 196
Linear differential equations 40
links 134 135 179
Liouville, J. 61 183
Listing, J.B. 18
Local properties 108 139 179
Locally free 179
Loewy, A. 43 64 65
Lower central series 43 44 143
Lyndon, R.C. 12 15 86 92 98 109 111 116 118 131 162 184 185 186 203 204
Macbeath, A.M. 37
Macintyre, A. 185
MacLane, S. 47 168 171
Magnus, W. 10 12 27 34 36 39 44 47 85 87 88 100 114 115 127 129 130 131 133 142 147—154 177 178 203
Mal'cev, A.I. 42 120 138 139 179
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