## Finite permutation groups |

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### Contents

THE METHOD OF SCHUR | 52 |

The Relationship between SRings | 60 |

The Extension Group 5H I fi fa | 69 |

Copyright | |

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### Common terms and phrases

a e Q actually appearing addition algebraic integers appearing in G assume assumption automorphisms B-group block of G Burnside commutative composite order conjugate constituents of G cosets cycle denote divisor eigenvalue elementary Abelian elements of H exactly fixed block fold transitive following theorem Frobenius group G contains g e G G is doubly G is primitive G is transitive G on Q group G group of degree group on Q group ring holds imprimitive intransitive irreducible constituents j8Ga Jordan k-fold left fixed Let G Math matrix minimal degree minimal normal subgroup multiplication multiply transitive groups orbits of Gx permutation group permutation matrix prime degree primitive group primitive on Q Proposition prove regular group regular normal subgroup regular representation representation theory S-module semiregular semiregular group simple quantities solvable subgroup of G Sylow subgroup symmetric group Transitive Constituents transitive on Q transitivity module trivial Wielandt