Osnovy teorii Galua.

180 V. Ypaenenusi c 3alanniWmIu,pynnamu HyJieBoii Kope.-b Mbl He rHpHHHMMUM BO Bli{HmaHIne, Tat( KaI(,H lie jaeT HaMt pa3-,1oweH1HH c JanrlHo A (B HdaCTOfILeO ctiyliae c IlyJIOBOVI) CTUef(Hbio 2 H1 COOTBeTCTByeT A~pyromy 3Ha4iHlilo p; Mbl H0jIyqlHM emo, lipppaBHq B TpeTHPI M qeTBepTbIHi '4JUeHbl: 1 -1- p - 3, OTKCYR p 2. 3Ha'leeui flOpflIKOBb1X miuceai I1H p = 2 TaKoiio: 6, 5, 3, 3. HIpHpal3HkuBa5I Hy.410 CYMMY tIJICHOB HH3HICrO n~pqa~Ka, HO~yly4M: - a ~ 5 - 0. Ecimn mb! XOTHM, 'iTo6bJ B IRalieCTBe KOB4I4IHLUIeHTOB iipii CTenem5x 2 y Hac 6blnIH TOJ~bKO BbliqeTbl HO moJLy.Tio 2, T. e. xiHcjla 0 ii 1, TO H0J1~LIHM JIR KOpHeft iiauiero ypaBiieHHs TaKHe HaHtJabHbie 'l.leHbI: 2 2 -2 2, 22. '4To6bi HO.Uy'IHTb aanJbHHllH0uu 'IaeHbI pa3J10)KeHiH, KopHeH, )iejiaeM B ypaiBHeIHHH nOXCTaH0BKY X ==apP + Y (B Aaa:WoM C.Uyqae x = 2 2 + 1 X ~2 +) Hj lipo Aoji}Kaem HaxowfcjeHfe tieOHOB pa3JlO)KeHHHl BO BHOBb pO.IyteHHom ypiHeHOHIH, KOTOpbie 5IBJI$IOTCf! JAajbIbeftlah14M! 4J1eHamv pa3J1?KeHff1 KOpHei AHepB0KaqlaJnbloro ypaBHeHHi51. 4. An i~ 6blCTpOrOHO14HH1y(bX3aeHi [OC3TJf p cy~ueCTByeT npHem, 6jiaroaapq ROTOPOMY N3JU~raemb1if cnoco6 Hi roniyqn doe Ha3BaHiHe. l3epem v VIJIOCI(OCTH flplimoyro0Jlbyf10 K00pJLHHaTHYIO CHCTemy H Hanoclmm COOTBeTCTBeHHO Haftl~eHHblm nO~pRAKOBb1M qHc.jIam v k ~MP TO4KH C I(0OPJU4H~Tmw k i in. EcaVw KOA4~I!HUHeHTbl ypaBHemv (4.2) CyTb ULejibie 'Icia, a K0oaX~111JJ~eHT npii CTapHiefl CTeIIeHH pa~eH eaLHHIIIle, TO Bce TOHIKH J1eKaT B nepBOfl qeT~epTil, npHieOM HaHBblcwh3i.J1C>1{T Ha ocHi Y. H poiieaemv Mepe3 Kawoyt)io 143 3TH4X TO'IeK napaaJlJbHble lipsimbie TaK, '-To6bl TaiHreHC yrJna, COCTmBJ1emoro, H~MH C oTpti aaTeab H 0 i OCbLO Y, 6ijji paaeH 'iHcJay p. Torjaa npsimasi, npO13eJ HHaR 1 3 TO'-KHi (k, in), nepceOC'eTC!1 C OCbfO X B TO'IKe, a6cuiicca KOToOflA paB~a k + + t'1ip, T. e. HOpRAJKOBOMY '4tiCJIY IIPH Bbl6paHoM 9HaqeHHH4 P. Ho3TOMy HY)ICHbTe V ~ ~~~~~ 'a M 3 HaMeH141 p HToly-laTCH, C CAH M bl B bl6epeM HanparwimlHe HauFHHX Hn!MblX TaK, P~d. 2. 'ITO6bl ian 1-3 nouiy'aembibx repeceliern-if C OCbIO X COBnaAJH, a OCTHJbHble JlOwKHim UpaBee..LIpyrHmH "CJOBamH, HY)1{HO HpOBeCTH np~iMyto tieJ)3 XLBe 13 HaHiHX TO'IeK Ta!(, tITO6hi OCTaJlbHbie T0tIKH Jle)KaJl npa~ee 9TOfl HpIMOfl. 3'oFO, Mbl JAOCTHPHem, eCCJH HaqIHeM Bpa1LuaTb OTpHLuaTeJbHY1O tHaCTb OCH Y BOiEIpy Ha11BbidHefl TO'lKH4 ripo-TU1B '1acOBOft CTpe.IIKH A~O HOepBoro nepeceOeH40H1 C KaKOfl-HH6YJ~b lapyrot 113 HaHeceHHEIX TotieK. Hlociie 9TOFO CTaHeM BpamaLTb 9TY )Ke T1Hmyto B TOMweK HarnpaBimHUB, HO BOKpyr TOR~ TO4KlH, Ha KOTOPY10 M b! HaTKUIVJIHCb, OHH~TI. AO1 CTOJ~iCHBeHHHq C HOBOAI ~3 HaHeceHHbNX TO~qeK. 3)TOT flpOLLeCC HaJJo, npoJaoJ)RaTb ALO Tex Ho p, HoKHa Y Had npsi!maii

/ 232
Pages

Actions

file_download Download Options Download this page PDF - Pages 177-196 Image - Page 177 Plain Text - Page 177

About this Item

Title
Osnovy teorii Galua.
Author
Chebotarev, Nikolaĭ Grigorʹevich, 1894-1947.
Canvas
Page 177
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/acr5415.0001.001/184

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

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 April 30, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.