Osnovy teorii Galua.

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r.4a~a 1. rpynnu
~1. OCHOBHniie flOtIRTJIS..I..... 156
2. noirpynnuw............... 20
~3. Hfopmam-HweaJehIHre.AH.!,LnOI1JHHTenbHble rpynnbi 28
~ 4. M3MPPB H romomop4mU3M. FlpeJCTaBJeHHe rpyBH noACTaHOBKaMH..................I........13 3
~ 5. MaKC 4.albHb~lA HOpmaJ~bHblft AeJIHTeJlb. Komno3nHonHiR~aif PSUa.
Teopema Kopi~aHa-FeJlbaepa. flpocTbie rpyrinnu. Teopema Ibeprpana. 37
~ 6. A6eneBw rpyuimi liX pa3.'wneHwe Ha flpsimbJ nlpOH3BeaeHH.
LtHKJHiqeCKHx rpyuri..................... 42
~7. Pa~peWHuiie rpynnu......................45
rAaaa II. Fpynna raAya
~ L. Hcxotibe rpynnu...................... 56
~ 2. [lpHB~OAuiM~e H HenfliBOJUHMble nOJUIHOMEb...I..... 65
~3. Iloii1ime nonfl. Timum nozeii. OCHOBHWC CBOH'CTBa rMJefl avi-e6paH'4eCKHX 1l~cea....................... 70
~ 4. COOTHomeiHi5i MWKXY IKOPHfIMH. Fpynna raqya. COCTaBjieHile
OCHOBHbIX MOyJyl~erl.. 77
~ 5. f]OjcaCuIoBnH rp~yfnnw I'a-uya, KaK aB'BOMOP4)H3MbI HopmaJ~bROF
nongv~. Teopema JlarpaHKa.............. 80
~ 6. HpHcoeaHteHie HOBbIX Beiiui'iHH K 06.RIaCTH paUH~oHaAbHOCTH. HaTypa~lb~bie 11 no6o'~ine HppaUfH0Ha~bH0CTlH............ 95
E4aaa III. Pa3pewuiuue ypasenenw
~1. LHntuireCirne ypaBHeHHSI. Fe3OibB(eHT Aa.rpaH)a. J4ByucJneH~
ypaBHeH4H.......................... 100
~2. Ypa5HeHH.4s jAeieHHRn Kpyra. lix pa3petuHMOCTb Bl paAHKanax. raycCOBbi riepHojb.................... 106
~ S. Pa~pemiimwe rpynnUa H pa3peinIMwbI ypaBielHM1........ 119
rAQ,6a IV. HeKomopue npuiomenuqz meopjmw raAva
~1. POxaCTneHHOCTb noiaefl. Pa3A4oxeHne ypaBHenHlA nocae npHcoeAHHeHaA........................... 183
~2. 3a~aaa, o6paTHaql 3aA~aqe 'THPHray3eHa.1....3Q.... S
~3. [IOCrpoeHrqnuiIH JIOMOIMH UlHPKyafI H AH~efixCH.148
rV4aea V. YpaenenuR c Nanepea 3adamnmfuu zpynnawu
~1. Koiieqinbie IIoAH................ 154
I2. rpynna raqya CpaBHeHI4I no InpOCTbhM MOAYRAM.83
3. floc~poellne ypaDSHeHHR c.3aAaHHUmH4 rpynnam........ 188