konjugasi klaas thuka

amoortha beejaganithathil, oru parimithamaaya group "jii" yude oro samyojitha classinum aaa samyojitha classile gadakangalude aakethukayaayi nirvachichirikkunna oru functionaanu oru samyojitha klaas thuka allengil lalithamaayi klaas thuka. oru grouppinte klaas thukakal anubandha group beejaganithatthinte kendrathinu oru adisthaanamaanu.
nirvachanam.
g" oru parimithamaaya groupayirikkatte, "c" 1 ayirikkatte..sii" keey "ennathu" jii "yude vyathyasthamaaya konjugasi clasukalaayirikkum. 1 ≤ "i" ≤ "k" ennathinu, nirvachikkuka
function formula _ 2 ennathu "g" yude klaas yogangalaanu.
beejaganita groupil.
g" ennathinekkaal sankeernamaaya group beejaganithamayirikkatte cg. appol sii. jii. yude kendram, "z (c" g ") ennu soochippikkunnu, ithu nirvachikkunnu
ithu ellah klaas functionukaludeyum (konjugasi klaasukalil sthirathayulla functionukal) koottatthinu thulyamaanu. ithu kaanunnathin, ellah "x"-num "f" ("yx") = "f" ("xy"), "g"-ll "y" ennivaykku maathrame "f" kendramaayittulloo ennu shradhikkuka. y" neey "yx" −1 kondu maattisthaapikkumbol, eee vyavastha maarunnu.
klaas thukakal ellah klaas functionukaludeyum oru koottatthinte adisthaanamaanu, athinaal avaa beejaganithatthinte kendratthinte adisthaanamaanu.
prathyekichum, "z" (c "g") nte alavu "g" yude klaas thukayude ennathinu thulyamaanennu ithu kaanikkunnu.

