Introduction to the Theory of Algebraic Equations

Abelian equation adjoining adjunction alternating group belongs to H binomial c₁ circular substitution conjugate COROLLARY cube root cubic cyclic group domain of rationality Elementary elementary symmetric functions enlarged domain equal equation f(x)=0 equation of degree equation of prime EXAMPLE factor-groups factors of composition form a group function V₁ G₁ G₂ Galois resolvent Galoisian equation given equation group G H contains H₁ H₂ Handbook Hence G identity G₁ irreducible equation Kinematics Lagrange's Theorem Large 8vo letters Manual Materials of Engineering metacyclic group morocco permutation prime degree prime numbers quantity quartic equation rational function rational numbers rationally expressible reduced remains unaltered resolvent equation root of unity self-conjugate subgroup self-conjugate under G series of composition solution solvable by radicals Steam-engine Strength of Materials subgroup H subgroup of G substitutions of G symmetric function symmetric group Text-book Theory Treatise values x₁ X₂ y₁ y₂