## Characters of Finite Groups, Volume 2 (Google eBook) |

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### Contents

I | 1 |

II | 59 |

III | 85 |

IV | 99 |

V | 105 |

VI | 113 |

VII | 137 |

VIII | 145 |

XI | 189 |

XII | 203 |

XIII | 219 |

XIV | 233 |

XV | 243 |

XVI | 249 |

XVII | 255 |

XVIII | 277 |

### Common terms and phrases

7r-Hall subgroup abelian subgroup Algebra assume that G assumption cd G CG(x Chapter character of degree characters of G Classify Clifford's Theorem complement conjugacy classes conjugate in G cyclic denote Di-group divides G divides x(l divisor of G elementary abelian elements epimorphic epimorphic image Exercise faithful character faithful irreducible character finite groups Frobenius group G contains G is p-nilpotent G is solvable G-classes group G group of order group with kernel Hall subgroup implies integer involutions isomorphic kerx Let G Let H Let x e Lin(G Maschke's Theorem minimal normal subgroup natural numbers NG(P nilpotent nonabelian group nonabelian simple groups nonlinear irreducible characters nonsolvable normal p-complement Obviously odd order p-group permutation prime divisor Proof Proposition prove representation result semidirect product solvable group splitting field subgroup of G subgroup of order Suppose that G Sylow p-subgroup Sylp(G unique minimal normal x e Irr(G Zsigmondy prime