
ghadakam (group sidhaantham)

ganithashaasthrathil, group sidhaanthathinte mekhalayil, oru parimitha groupinte oru ghadakam oru ardhasaampathikamaaya saadhaaranamallaatha upavibhagamaanu. eathenkilum rund vyathyastha gadakangal sanjarikkunnu. ellah gadakangaludeyum uthppannam grouppinte paaliyaan.
parimithamaaya abelian (allengil nilpottant) grouppukalkku, "p"-ghadakam mattoru ardhathil upayogikkunnu, athaayath sailo "p"-upavibhagam, athinaal abelian group athinte "p"-gadakangalude gunanafalamaanu "p". abelian grouppukal lalithamallathathinaal iva mukalilulla ardhathil gadakangalalla.
oru parimitha grouppinte oru ardha lalithamaaya upavibhaagathe oru staanderd ghadakam ennu vilikkunnu, athinte centraliserinu thulya kramamundengil, athu kendreekarikkunna oro involutionteyum centraliseril ithu saadhaaranamaanu, koodaathe athinte kanjugettukalonnumille athu sanjarikkunnu. parimithamaaya lalithamaaya grouppukalude vargeekaranathil eee ashayam upayogikkunnu, udaaharanathinu, staanderd gadakathile neriya niyanthranangalkk keezhil inipparayunnavayil onnu ellaayppozhum nilanilkkunnuvennu kaanikkunnu