Characters of Finite Groups |
Contents
1 2 Chapter | 1 |
Characters | 2 |
Some Properties of Characters | 35 |
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A₁ abelian absolutely irreducible acter algebraic integer assumed assumption B₁ Brauer character afforded character of G class function CN group coherent complex valued class conjugate classes coset cyclic defined ducible character elementary extension field F-conjugate F-irreducible F-representation faithful character field of characteristic field of F Frobenius group Frobenius kernel Frobenius reciprocity theorem Furthermore G₁ G₂ group with Frobenius H₁ H₂ Hence implies induction involutions irreducible character irreducible constituent isomorphic k₁ Let ₁ Let F Let G linear character M₁ matrix maximal monomial nilpotent nonsingular normal p-complement normal subgroup p-group p'-element P₁ pairwise prove quaternion group rational integer result follows root of unity S₁ S₂ satisfied scalar matrices solvable solvable group Sp-subgroup splitting field subgroup of G Suppose Sylow Sylow theorems T.I. set underlying vector space valued class function vector space w₁ X₁ Xist