Osnovy teorii Galua.

196 V. Ypaonenwi C 3ad~aHnb1Au epynnamu
5) m -p, n == 27. Toriaa 22 +1I = 28 +2 7 22' -..2' =26, s=1,
22' = 28, 4T0 TaKme HeBO3MO}KHo.
Tenepb pacCMOTPHNM cjiyqaH., KOULaa f COCTOHT 113 HeCKOJ~bKH~X npOCTbJX
qHceJi:
6) m =p, n-q k1 qlq2.. Touta B cWIy ni. 7 a33Ao)KeHHsi nio mojayjHim q., q1, q2,... tOJuAH bl HierpemieHH-O coaLepKaTE- He6flaronpmfl~uie wUHK'nbl.
B TOweK Bpemg1 HmeeT meCTO U t - 1, OTKyJLa ciieJyeT, 41T0 ypa~iiei~e
(6.21) JLOJI}HO coJLepwaTb c t3C9TH LHKJnbl. TaKHM o6pa3oM 3TOT CJIYqaft To)K
He6JiaronpHSlTeH.
7) m = 3k~ (k 2 Hmu k=- 3), n = qqlq2.. Hauime~binee B03MOK-~
'ioe 31Ia4eHHe anhiI nt paBHO 5*7 = 35, OTK3Taa m~ < It, WIO nTIOTHBopeqHT
Hanmey yCJIOBHiIO.
13. EcatIH pa3HOCTb m~t-nI eCTh HelleTioe qHCJIO, TO, nOJLCTaBaH$1 BypB
HeHHe (6.4) X - Mb! muHoJ1yHM yparitieHiue TaKoro we BHJma, B KOTOPOM
M H It 6yllyT iHmTb BaBOe 6ojnbtuHe 3HalieHHSM. Mb! HipHXOJU4M K TOR1 Wen3 -A[alqe, HO C TO10 pa3Hutefl, WIO M~ Hi It yw{e He 6yJayT B3aHMHO-npOCTbIMH,
a 6yxiyT HmeTb JtBOtlKy o6auim JaeJHTeJnem. 4H-raTeJIo IIpeJoCTaBJ15ieTC$I HCCmeJtOBaTb BCTpeqIaio~u4ecH 3ILeCb ciiy'iaHr.