Osnovy teorii Galua.

.q3. Pa3pewuwbibe eopyflibi u ypa~nenuq

COCTaBHM qjlemeHTapHo-CHmmeTpiitIeCK~e (PYHKtU4P OT H, H1, H 2:
i+H,+ H2=-q, HH1+HH2+HjH2=H8+H2+ H1+H7+H6+H=
-1 -(H3 +H4 +H5)=
HH H =(H+ H2)H(,2=H4+H3+H5+2 — l+ 2,
TaK 'ITo H, H1, H2 BBJIRIITC5I KOPH51MHypBeil
(2,20) H3 iH2 — (1 +m) H - (2 +~ =0.
HeTpyAzHO Bblpa3HTb % 'iepe3 -~. a~Jff 9TorO HaaO B paBeiiCTBe
-q+ -q +3',3ameHHiTb 'q2 qepe3 -1- i - 71:ip'q=
= - 3 — 2-ri - hil, OTKYaa~
TaK 'ITO ypBe~ (2.20) MONKHO rnpeo6pa,3oBamb K BH)1Y
(2.20') H3 -,q H2 + 2~ + H - L +2- = 0.
EcaHn ie Heo6xoqtimo noJay'HTb Bbipa}KeHHe ql 'iepe3 -q B 4)opme nlOJHtIoma, TO JtJIS 9TOrO HaILo COCTaBI4Tb JlHHeiAHbje BbipaeHH5i. Crene~eA iqe
pe3 m m~
1-Y4- 5-1 42
14 pe1LHTb CHCTemy OTHOCHTeJnbHO qi:
4- 1,-,-41
1, 0, 0
TaK 'ITO ypaB~eHue (2.20) nH~HH4maeT BHlL:
(2.20"') H3-hH2 +(3 -h 2) H+ (2 -i2) 0.
Jltajee H3 paBeHCTcBt + s.- = H mbi nIOJly'IHM:
Y np a Hc Hu e 35. HaRTH ypaBHeHHH ~~JXAfl I'yCCOBbix nepiioh1oB B Ctiyqae
p = 13.
~ 3. Pa3pemrninbue rpynnfbi H pa-3peuiHIMbie ypaBueH H H.
1. CBS13b meway1 pa3pelJMmbimn rpyI1amH H pa3pCeinHMbimH ypaBlieHHsimH. Tenepb Mbl moHKeM ycTaHOBHtfb C35H3b mewKJy pa3pewifMb1MH rpyflITatmH H pa3peL1IIMbimH ypaBHeH5igMH. 3Ta CB513b mo)iKeT 6blTb 4JOpMyJIHp&
Baaa TaK: