Theory of Groups of Finite Order

William Burnside
Fellow of Pembroke College, Cambridge
Professor of Mathematics at the Royal Naval College, Greenwich

1897

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 Group1.729
XIII.On the Graphical Representation of Groups: Groups of Genus Zero and Unity: Cayley’s Colour Groups.809
XIV.On the Linear Group2.909
XV.On Soluble and Composite Groups.995
Index1087