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The Project Gutenberg EBook of The Meaning of Relativity, by Albert Einstein.

This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at Gutenberg.

Title: | Theory of Groups of Finite Order |

Author: | William Burnside |

Release Date: | Aug 2, 2012 [EBook #40395] |

Language: | English |

Character set encoding: | UTF-8 |

Markup: | HTML5 + MathML |

Source Markup: | LATEX |

Preface.3

I.On Substitutions.9

II.The Deļ¬nition of a Group.43

III.On the Simpler Properties of a Group which are Independent of its Mode of Representation.83

IV.On Abelian Groups.145

V.On Groups Whose Orders Are the Powers of Primes.199

VI.On Sylow’s Theorem.297

VII.On the Composition-Series of Group.371

VIII.On Substitution-Groups: Transitive and Intransitive Groups.431

IX.On Substitution Groups: Primitive and Imprimitive Groups.521

X.On Substitution Groups: Transitivity and Primitivity: (Concluding Properties.)581

XI.On the Isomorphism of a Group with Itself.637

XII.On the Graphical Representation of Group^{1}.729

XIII.On the Graphical Representation of Groups: Groups of Genus Zero and Unity: Cayley’s Colour Groups.809

XIV.On the Linear Group^{2}.909

XV.On Soluble and Composite Groups.995

Index1087

I.On Substitutions.9

II.The Deļ¬nition of a Group.43

III.On the Simpler Properties of a Group which are Independent of its Mode of Representation.83

IV.On Abelian Groups.145

V.On Groups Whose Orders Are the Powers of Primes.199

VI.On Sylow’s Theorem.297

VII.On the Composition-Series of Group.371

VIII.On Substitution-Groups: Transitive and Intransitive Groups.431

IX.On Substitution Groups: Primitive and Imprimitive Groups.521

X.On Substitution Groups: Transitivity and Primitivity: (Concluding Properties.)581

XI.On the Isomorphism of a Group with Itself.637

XII.On the Graphical Representation of Group

XIII.On the Graphical Representation of Groups: Groups of Genus Zero and Unity: Cayley’s Colour Groups.809

XIV.On the Linear Group

XV.On Soluble and Composite Groups.995

Index1087