Book contents
- Frontmatter
- PREFACE TO THE SECOND EDITION
- PREFACE TO THE FIRST EDITION
- Contents
- CHAPTER I ON PERMUTATIONS
- CHAPTER II THE DEFINITION OF A GROUP
- CHAPTER III ON THE SIMPLER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION
- CHAPTER IV FURTHER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION
- CHAPTER V ON THE COMPOSITION-SERIES OF A GROUP
- CHAPTER VI ON THE ISOMORPHISM OF A GROUP WITH ITSELF
- CHAPTER VII ON ABELIAN GROUPS
- CHAPTER VIII ON GROUPS WHOSE ORDERS ARE THE POWERS OF PRIMES
- CHAPTER IX ON SYLOW'S THEOREM
- CHAPTER X ON PERMUTATION-GROUPS: TRANSITIVE AND INTRANSITIVE GROUPS: PRIMITIVE AND IMPRIMITIVE GROUPS
- CHAPTER XI ON PERMUTATION-GROUPS: TRANSITIVITY AND PRIMITIVITY: (CONCLUDING PROPERTIES)
- CHAPTER XII ON THE REPRESENTATION OF A GROUP OF FINITE ORDER AS A PERMUTATION-GROUP
- CHAPTER XIII ON GROUPS OF LINEAR SUBSTITUTIONS; REDUCIBLE AND IRREDUCIBLE GROUPS
- CHAPTER XIV ON THE REPRESENTATION OF A GROUP OF FINITE ORDER AS A GROUP OF LINEAR SUBSTITUTIONS
- CHAPTER XV ON GROUP-CHARACTERISTICS
- CHAPTER XVI SOME APPLICATIONS OF THE THEORY OF GROUPS OF LINEAR SUBSTITUTIONS AND OF GROUP-CHARACTERISTICS
- CHAPTER XVII ON THE INVARIANTS OF GROUPS OF LINEAR SUBSTITUTIONS
- CHAPTER XVIII ON THE GRAPHICAL REPRESENTATION OF A GROUP
- CHAPTER XIX ON THE GRAPHICAL REPRESENTATION OF GROUPS: GROUPS OF GENUS ZERO AND UNITY; CAYLEY'S COLOUR GROUPS
- CHAPTER XX ON CONGRUENCE GROUPS
- NOTES
- INDEX OF TECHNICAL TERMS
- INDEX OF AUTHORS QUOTED
- GENERAL INDEX
CHAPTER IV - FURTHER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION
Published online by Cambridge University Press: 05 May 2013
Book contents
- Frontmatter
- PREFACE TO THE SECOND EDITION
- PREFACE TO THE FIRST EDITION
- Contents
- CHAPTER I ON PERMUTATIONS
- CHAPTER II THE DEFINITION OF A GROUP
- CHAPTER III ON THE SIMPLER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION
- CHAPTER IV FURTHER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION
- CHAPTER V ON THE COMPOSITION-SERIES OF A GROUP
- CHAPTER VI ON THE ISOMORPHISM OF A GROUP WITH ITSELF
- CHAPTER VII ON ABELIAN GROUPS
- CHAPTER VIII ON GROUPS WHOSE ORDERS ARE THE POWERS OF PRIMES
- CHAPTER IX ON SYLOW'S THEOREM
- CHAPTER X ON PERMUTATION-GROUPS: TRANSITIVE AND INTRANSITIVE GROUPS: PRIMITIVE AND IMPRIMITIVE GROUPS
- CHAPTER XI ON PERMUTATION-GROUPS: TRANSITIVITY AND PRIMITIVITY: (CONCLUDING PROPERTIES)
- CHAPTER XII ON THE REPRESENTATION OF A GROUP OF FINITE ORDER AS A PERMUTATION-GROUP
- CHAPTER XIII ON GROUPS OF LINEAR SUBSTITUTIONS; REDUCIBLE AND IRREDUCIBLE GROUPS
- CHAPTER XIV ON THE REPRESENTATION OF A GROUP OF FINITE ORDER AS A GROUP OF LINEAR SUBSTITUTIONS
- CHAPTER XV ON GROUP-CHARACTERISTICS
- CHAPTER XVI SOME APPLICATIONS OF THE THEORY OF GROUPS OF LINEAR SUBSTITUTIONS AND OF GROUP-CHARACTERISTICS
- CHAPTER XVII ON THE INVARIANTS OF GROUPS OF LINEAR SUBSTITUTIONS
- CHAPTER XVIII ON THE GRAPHICAL REPRESENTATION OF A GROUP
- CHAPTER XIX ON THE GRAPHICAL REPRESENTATION OF GROUPS: GROUPS OF GENUS ZERO AND UNITY; CAYLEY'S COLOUR GROUPS
- CHAPTER XX ON CONGRUENCE GROUPS
- NOTES
- INDEX OF TECHNICAL TERMS
- INDEX OF AUTHORS QUOTED
- GENERAL INDEX
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- Theory of Groups of Finite Order , pp. 46 - 63Publisher: Cambridge University PressPrint publication year: 2012First published in: 1897