Tirohia te whiti i raro nei, ka whakahoki i te pātai i muri i roto i te reo ano rite te whiti: Passage: whakawhiti "+" me te "−" i roto i te faaiteraa, ara, permuting nga rongoā e rua o te whārite e taea te tirohia rite te mahi rōpū (he tino ohie). E mohiotia ana ngā tātai rite mo te whārite kiwi me te quartic, engari e kore e tīariari i roto i te whānui mō te nekehanga 5 me te teitei. āhuatanga Abstract o ngā rōpū Galois e pā ana ki polynomials (i roto i te nuinga o ratou solvability) hoatu he paearu mō ngā polynomials e whai ratou rongoā katoa expressable e radicals, ara, rongoā expressable mā te whakamahi anake tāpiri, whakarea, me pakiaka rite ki te tātai i runga ake. Ka taea te mahi ki te raruraru mā te neke ki te ariā mara, me te whakaaro i te āpure wehewehe o te polynomial.
5 me te teitei ake