Theory of Groups of Finite Order (Hardcover) (ISBN-13: 9789393971678)

CHAPTER I. ON SUBSTITUTIONS.

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. ON ABELIAN GROUPS.

CHAPTER V. ON GROUPS WHOSE ORDERS ARE POWERS OF PRIMES

CHAPTER VI. ON SYLOW'S THEOREM.

CHAPTER VII. ON THE COMPOSITION-SERIES OF A GROUP.

CHAPTER VIII. ON SUBSTITUTION GROUPS: TRANSITIVE AND INTRANSITIVE GROUPS.

CHAPTER IX. ON SUBSTITUTION GROUPS: PRIMITIVE AND IMPRIMITIVE GROUPS.

CHAPTER X. ON SUBSTITUTION GROUPS: TRANSITIVITY AND PRIMITIVITY: (CONCLUDING PROPERTIES).

CHAPTER XI. ON THE ISOMORPHISM OF A GROUP WITH ITSELF.

CHAPTER XII. ON THE GRAPHICAL REPRESENTATION OF A GROUP

CHAPTER XIII. ON THE GRAPHICAL REPRESENTATION OF GROUPS: GROUPS OF GENUS ZERO AND UNITY: CAYLEY'S COLOUR GROUPS

CHAPTER XIV. ON THE LINEAR GROUP.

CHAPTER XV. ON SOLUBLE AND COMPOSITE GROUPS