Osnovy teorii Galua.

1. Ljciuwuwcut u da yuennbae ypa6enenwz flpHmeHHH Teopemy 49 o6 OA1HO3Ha4HOCTH, noJnyqaem: & Mo ~al ( k 1 9 -1.i T. e. TaKHm o6pa3oM roJibKo Tre M, mory~ He o6pauiaTbC5I ii yJb, ivm1 KOVOPUX = T. e. i =-k (mod p), Hi Hawa BeI~itHHa HplfHlpmanT BHA C' PO+PIP+" +Pp —2Cp h ~21)p) naiefOBTOPHR1 TO we paccywaxeH~e JaUI KopHR r = V'., mt + P 0~+P %+P~-21 Ph-2 =( EcAHt k He qzeqJmIrnCb 6wI Ha p, TO MWI I1OJyHJ1H 6b orciojia palHoitaJnbHoe W~31{~J48 iepa P, 'ITO 03Ha'IaJo 6w, WIO KopeHb He-npHBOAHmorC Bg rnoe K (2P) nflOiHHoma - 2' paLLHOHaJqbRO 3aaBiceji OT 2', Wno MawO3 moxKFo. [IOBTOpH5I pac)ie~ AJtJI1 BenJitiHibi C, V, IIoJy'4Hm, 'TO Of( eCmh BeJIiHHa Honsi K ();3aTem - lonJif K (),H. T. A.', iaimonex non i K (e). ECJIH a =co+cia+C2 - = c(Xs), TO B ctij1y tieripHBOAHMOCT nOJIHHoM m - MWI Ha psiAy c paBeHCTBOM x- 1e 6yxaem 1Ta1Oe HMeTb [a (e)IP a, [a (F2)1P ==a,...0, g )P= a. HlepeMno>Ka% STH paBeHCTj~a, noJny44m: r~e b -pa~UHOHaJIbHoe '-IHcjio. OTCitaa a - al: avl' - = (-~-1'1 OTFKYJ~ cJneJyeT, 'ITo a eCTb TOqHasi CTeneHb paLuHOHaJqbHoIo 'wuia., 4. H4 T. A1. 7. B n. 5 MbW, npHcoeJA14l-1' ii o6nracra paiLHoHaJibHOCTH MA~ KopeInb a 143 eXWHHIHbb, nojiy4HT1H TaKHe Bbipa)KeHH14 JAtI$ KOpHeft non.THHoma - ~a: x1, ex1,e2x1,...,E x1 3TOT IIOAHHOM HmeeT B K (e) IIHKnjqHeci~yio rpyrnny. aUeIICTBHTeJnbHo, OH iiopmaJIH, 14 DOTOMY HopfIl~oK ero rpynnbi ranya pa~eH Mn. C Jipyroft CTOPOHbl, ero rpyniria CO~LePH{HT n-IOJCTaHOBKy S = (XI —.* E X1) m-ro nopi.taua, A I1OTOMY ero CTe[ieHH J, S, S2,, Sm1 pa3I4tHbf H HCqepnHbBaOT C0O0#1 acto rpynriy.

/ 232
Pages

Actions

file_download Download Options Download this page PDF - Pages 97-116 Image - Page 105 Plain Text - Page 105

About this Item

Title
Osnovy teorii Galua.
Author
Chebotarev, Nikolaĭ Grigorʹevich, 1894-1947.
Canvas
Page 105
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/acr5415.0001.001/109

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 June 22, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.