## Algebraic equations |

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Abelian equation adjoined Algebra auxiliary equation complete solution Consequently Conversely cubic cubic equation cyclical group definite substitution denote determined elements equation of degree equation satisfied factor of G field of rationality form a group G which leave Galois Galoisian auxiliaries Galoisian group Galoisian resolvent given equation group G hence icosahedral icosahedron integers invariant group irrationalities irreducible equation irreducible factors irreducible without adjunction J(vi Kronecker linear Math maximum self-conjugate factor maximum self.conjugate metacyclic function metacyclic group multiple roots normal equation notation nth roots obtain parameters positive integers primary resolvent prime degree prime factors primitive root proved quadratic quartic quintic rational equation rational factor rational function rational quantity rational root rational value root of unity sa<f self.conjugate factor sextic equation simply isomorphic sub-group substitution of G Suppose symmetric function symmetric group theorem unaltered in value v-vi xu x2