Osnovy teorii Galua.
Annotations Tools
~ 2. H~o~opynnbz 27 Ho 3TO paBeH-CTBO HeI3O3MO)KHO, TaK mait( ero neIBag qaCTb nepeBAoXT 13 1, B TO B1)em4 Ka31< ero inpaBasi 'ICTb riepeuo~im 3 B 2. T eop e ma 13. lOp51AOK TpaH3HTHBHO01 a6e~neBofl rpyriabi WlriR CTaHOBOK paaeH ee UeriefHI, T.* e. qwC.Tiy nepemeumae~bIX eio iUMffp.,J1 0K a 3aT e JIb CTBO0. 143 Treopembi 11 ciiea~yeT, qITo rlopuJoK rpyrnnu(~ pra~eH ee CTeiieHii n, yMHO)Ke-iHHOA Ha nopsulToK ee HaR16OIAbHen no~rpyrniri, VOCTamm~ome1C1 Oal1y 113 uuliqp Ha mlecTe. HO Taic MaK1 (W$- AeneBa rEpynria, TO B CHJIY 'feOpeMbl 12 IIOJCTaHOBK14 rpylInbi %)J~IKlh C3 TbBe I4HdppiL1 Ha meCTe, T. e %5-) COCTOHT TOI~b1O 143 Mou~eCTBeHoft HOJICTaHOBI(H, iH ee nopu1Lo1< paB,-EH eniHHH[e. Orcioaia C~leJyeT, 'ITO nO0P1LOK rpyrlflbi (S paBeB Hf, 4q.HT. LI. Y n p a nc Bi e Hi H e 1W. HYCTb 65 a6eiieBa r'pyrma 11Oj~CTaHoBo1{, H ee C14CTe~bl HH1 -TpaH311TfIMHOCTH COCT0SIT 113 Mfl, 1112, Mk, in,, tp (ttnl +~ mp2 +. ~ Oin, a=). AioKa3aTb, 410 lIOP5IJOK rUyrI1Hbl ( eCib JIJHITeJ1b 4Hcjia nzX72... M*' 14. HMHpHMH4THBbime rpyrifbi. Fpyrnra IIOJICTaHOBO1( Ha3b1BaeTCR1 H Mnl p 14 M 14 T H B H o0 ~, eCJI1 Bce riepemeiiaembie eio UL11)pfl MO>KHO pa36HTIh Ha TaK14e CliCTeMb1 (Ia3blmiembie CH4CTemaMH HlmnpH~mHTTBH0CTH), qT0 gawaaff3 HOACTHOBKa I'pyHlbl HepeBORTHT wi143b1 Ka}Kjofl CHiCTembl B UH4ipbI KaKoWlHH6y~ib onpeJ~aereHHO1 CHCTembi..dpyrHMmH cJIoBami,, ecatm JLe UHc)pIll nIpifHlaUae3aT OaHH0I H TOtI we CH4CTeme, TO K3YKJi3 HOLaCTaHOBKa rpynn~bl [1epCBOJLT IIX B 11H4)bl, npH4Ha)ae>Kaniie ToweK aHO 01011H TO wKe CHCTeme. Ha npaKTH1<e ytlo6Ho HPOBep1Tb H4M11p1MHTliBHOCTb TaK: 6y11em o6owluaqlam 13ce 4-mpbl O1IHOA (Ka~waioft) CHCTembi l4MHHM14MTHfBHOCTH OaLHIHM H Tem )Ke 3HaK0M. ECiiH noiiyqaembie TaKHM o6pa3oM fIOLLCTaHOBKH He C011p)KaT npO. Th4BopeLIHA1, TO o6o3Hatiaembie (1111MM 3HaKom 1H4)Jpbj JeleCTBHiTeJIbHO cocraBJISII0T CH4CTeMy HMHplHMHiTHBH0CTH4 rpynnlbg B nIpOTHBHOM cjiyqae-He COCTaBJWLOT. llHp1m e p. f'pynna 8-ro nop51A~a [cm. (27)1. 1, (1 2) (3 4), (1 3) (2 4), (I 4) (2 3), (1 2), (3 4), (1 3 2 4), (1 4 2 3) HMmeT C1ICTeMb1 1, 2 H 3, 4 B Ka jeCTBe C4CTeM HmripllHTI4TBH0CTH. HlTO6b y6eqHrbC% B 3T0M, o6o3HaqHM Uti4)pbi 1, 2 3HIIKOM 1, a IItlf)pb 3, 4 - 3113Kom IL. Tor~ia no0Jy'IHm CJICJapotuLeHC roCTaHoBKcH: Bce 9TH HO11CTa3HOBKH CBO11fITCq K J1IBYM c-ne11yioH4im: 1,( H1) np 10TH1B0pqH5 HHrF(-e HeT. ".CHCTeMbl we 1, 3 i1 2, 4 He moryT CJ1YWKHTb CHCTCmaMH HlMIlPHMHTI4BHOCTH4 rp~yHnI. AH'CTBHTe.~bHo, o6o3Haqaq 1, 3 tiepe3 a, a 2, 4 'qepe3i b, Mbi HOjqyqH1M TaiKHe ROACTaHOBKH: 1, (ab) (ab), (aa) (bb), (ab) (ba), (ab) (a) (b), (a) (b) (ab), (aabb), (abba). Hlepimie IeTblpe 113 3THx nOAICTaIHOBOK K HPOTHBopeC4Hio He IUpHBOARfT, a I1OTOMY MM~l5 o6pa3yemoll 1MMi rpynurbi CHCTCMbl 1, 3 11 (2, 4) IIBJI5IOTCH CHCTemRMH HMIHPHMPBTHB11OCT14. fHocae=He we iemhipe 113 3THX HOqCTaHOBOK cojepwan npoTHlBope'IHsl. HanpHiMep nOJICTaHoBKy (a a b b) mo)1<1o nepnHHCaTb TaR: (a a b ). C OZHOR CTOPObl~b, a neCpexOJHT B a, C 11pyroft - a nepexoaflT B b. 15. T eop e Ma 14. BCqK3q -TpaH3,HTHlBHasi rpyiina, COuIpwamasI3$ TpaHCH03H14H1o, HfBJsiHTC14 1111 cHmmeTpH4ecCKofl, 1411 HM11l1H N1HTHBHfi4 rpynrioft. 0 Ka 3 33 T, e ji b C T B 0. HlyCTb rpynrina COILCP)KHT TpaHCn1O3HIUH1O (1 2). ECAHn 0113 COaeLp)KHT BCe TpaHCHO3Hg4HH, nepeBoMuitiue 1 i Ka)4aIyio ms nepe
-
Scan #1
Page #1 - Front Matter
-
Scan #2
Page #2 - Front Matter
-
Scan #3
Page #3 - Front Matter
-
Scan #4
Page #4 - Front Matter
-
Scan #5
Page 1 - Title Page
-
Scan #6
Page 2
-
Scan #7
Page 3
-
Scan #8
Page 4
-
Scan #9
Page 5
-
Scan #10
Page 6
-
Scan #11
Page 7
-
Scan #12
Page 8
-
Scan #13
Page 9
-
Scan #14
Page 10
-
Scan #15
Page 11
-
Scan #16
Page 12
-
Scan #17
Page 13
-
Scan #18
Page 14
-
Scan #19
Page 15
-
Scan #20
Page 16
-
Scan #21
Page 17
-
Scan #22
Page 18
-
Scan #23
Page 19
-
Scan #24
Page 20
-
Scan #25
Page 21
-
Scan #26
Page 22
-
Scan #27
Page 23
-
Scan #28
Page 24
-
Scan #29
Page 25
-
Scan #30
Page 26
-
Scan #31
Page 27
-
Scan #32
Page 28
-
Scan #33
Page 29
-
Scan #34
Page 30
-
Scan #35
Page 31
-
Scan #36
Page 32
-
Scan #37
Page 33
-
Scan #38
Page 34
-
Scan #39
Page 35
-
Scan #40
Page 36
-
Scan #41
Page 37
-
Scan #42
Page 38
-
Scan #43
Page 39
-
Scan #44
Page 40
-
Scan #45
Page 41
-
Scan #46
Page 42
-
Scan #47
Page 43
-
Scan #48
Page 44
-
Scan #49
Page 45
-
Scan #50
Page 46
-
Scan #51
Page 47
-
Scan #52
Page 48
-
Scan #53
Page 49
-
Scan #54
Page 50
-
Scan #55
Page 51
-
Scan #56
Page 52
-
Scan #57
Page 53
-
Scan #58
Page 54
-
Scan #59
Page 55
-
Scan #60
Page 56
-
Scan #61
Page 57
-
Scan #62
Page 58
-
Scan #63
Page 59
-
Scan #64
Page 60
-
Scan #65
Page 61
-
Scan #66
Page 62
-
Scan #67
Page 63
-
Scan #68
Page 64
-
Scan #69
Page 65
-
Scan #70
Page 66
-
Scan #71
Page 67
-
Scan #72
Page 68
-
Scan #73
Page 69
-
Scan #74
Page 70
-
Scan #75
Page 71
-
Scan #76
Page 72
-
Scan #77
Page 73
-
Scan #78
Page 74
-
Scan #79
Page 75
-
Scan #80
Page 76
-
Scan #81
Page 77
-
Scan #82
Page 78
-
Scan #83
Page 79
-
Scan #84
Page 80
-
Scan #85
Page 81
-
Scan #86
Page 82
-
Scan #87
Page 83
-
Scan #88
Page 84
-
Scan #89
Page 85
-
Scan #90
Page 86
-
Scan #91
Page 87
-
Scan #92
Page 88
-
Scan #93
Page 89
-
Scan #94
Page 90
-
Scan #95
Page 91
-
Scan #96
Page 92
-
Scan #97
Page 93
-
Scan #98
Page 94
-
Scan #99
Page 95
-
Scan #100
Page 96
-
Scan #101
Page 97
-
Scan #102
Page 98
-
Scan #103
Page 99
-
Scan #104
Page 100
-
Scan #105
Page 101
-
Scan #106
Page 102
-
Scan #107
Page 103
-
Scan #108
Page 104
-
Scan #109
Page 105
-
Scan #110
Page 106
-
Scan #111
Page 107
-
Scan #112
Page 108
-
Scan #113
Page 109
-
Scan #114
Page 110
-
Scan #115
Page 111
-
Scan #116
Page 112
-
Scan #117
Page 113
-
Scan #118
Page 114
-
Scan #119
Page 115
-
Scan #120
Page 116
-
Scan #121
Page 117
-
Scan #122
Page 118
-
Scan #123
Page 119
-
Scan #124
Page 120
-
Scan #125
Page 121
-
Scan #126
Page 122
-
Scan #127
Page 123
-
Scan #128
Page 124
-
Scan #129
Page 125
-
Scan #130
Page 126
-
Scan #131
Page 127
-
Scan #132
Page 128
-
Scan #133
Page 129
-
Scan #134
Page 130
-
Scan #135
Page 131
-
Scan #136
Page 132
-
Scan #137
Page 133
-
Scan #138
Page 134
-
Scan #139
Page 135
-
Scan #140
Page 136
-
Scan #141
Page 137
-
Scan #142
Page 138
-
Scan #143
Page 139
-
Scan #144
Page 140
-
Scan #145
Page 141
-
Scan #146
Page 142
-
Scan #147
Page 143
-
Scan #148
Page 144
-
Scan #149
Page 145
-
Scan #150
Page 146
-
Scan #151
Page 147
-
Scan #152
Page 148
-
Scan #153
Page 149
-
Scan #154
Page 150
-
Scan #155
Page 151
-
Scan #156
Page 152
-
Scan #157
Page 153
-
Scan #158
Page 154
-
Scan #159
Page 155
-
Scan #160
Page 156
-
Scan #161
Page 157
-
Scan #162
Page 158
-
Scan #163
Page 159
-
Scan #164
Page 160
-
Scan #165
Page 161
-
Scan #166
Page 162
-
Scan #167
Page 163
-
Scan #168
Page 164
-
Scan #169
Page 165
-
Scan #170
Page 166
-
Scan #171
Page 167
-
Scan #172
Page 168
-
Scan #173
Page 169
-
Scan #174
Page 170
-
Scan #175
Page 171
-
Scan #176
Page 172
-
Scan #177
Page 173
-
Scan #178
Page 174
-
Scan #179
Page 175
-
Scan #180
Page 176
-
Scan #181
Page 177
-
Scan #182
Page 178
-
Scan #183
Page 179
-
Scan #184
Page 180
-
Scan #185
Page 181
-
Scan #186
Page 182
-
Scan #187
Page 183
-
Scan #188
Page 184
-
Scan #189
Page 185
-
Scan #190
Page 186
-
Scan #191
Page 187
-
Scan #192
Page 188
-
Scan #193
Page 189
-
Scan #194
Page 190
-
Scan #195
Page 191
-
Scan #196
Page 192
-
Scan #197
Page 193
-
Scan #198
Page 194
-
Scan #199
Page 195
-
Scan #200
Page 196
-
Scan #201
Page 197
-
Scan #202
Page 198
-
Scan #203
Page 199
-
Scan #204
Page 200
-
Scan #205
Page 201
-
Scan #206
Page 202
-
Scan #207
Page 203
-
Scan #208
Page 204
-
Scan #209
Page 205
-
Scan #210
Page 206
-
Scan #211
Page 207
-
Scan #212
Page 208
-
Scan #213
Page 209
-
Scan #214
Page 210
-
Scan #215
Page 211
-
Scan #216
Page 212
-
Scan #217
Page 213
-
Scan #218
Page 214
-
Scan #219
Page 215
-
Scan #220
Page 216
-
Scan #221
Page 217
-
Scan #222
Page 218
-
Scan #223
Page 219 - Comprehensive Index
-
Scan #224
Page 220 - Comprehensive Index
-
Scan #225
Page 221 - Comprehensive Index
-
Scan #226
Page 222 - Comprehensive Index
-
Scan #227
Page 223 - Comprehensive Index
-
Scan #228
Page 224
-
Scan #229
Page #229
-
Scan #230
Page #230
-
Scan #231
Page #231
-
Scan #232
Page #232
Actions
About this Item
- Title
- Osnovy teorii Galua.
- Author
- Chebotarev, Nikolaĭ Grigorʹevich, 1894-1947.
- Canvas
- Page 27
- Publication
- Leningrad,: Gos. tekhniko-teoreticheskoe izd-vo,
- 1934-
- Subject terms
- Galois theory
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/acr5415.0001.001
- Link to this scan
-
https://quod.lib.umich.edu/u/umhistmath/acr5415.0001.001/31
Rights and Permissions
The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].
DPLA Rights Statement: No Copyright - United States
Related Links
IIIF
- Manifest
-
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:acr5415.0001.001
Cite this Item
- Full citation
-
"Osnovy teorii Galua." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acr5415.0001.001. University of Michigan Library Digital Collections. Accessed June 23, 2025.