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Theory of Groups of Finite Order

Table of Contents

Preface to the second edition
Preface to the first edition
1. On permutations
2. The definition of a group
3. On the simpler properties of a group which are independent of its mode of representation
4. Further properties of a group which are independent of its mode of representation
5. On the composition-series of a group
6. On the isomorphism of a group within itself
7. On Abelian groups
8. On groups whose orders are the powers of primes
9. On Sylow's theorem
10. On permutation-groups: transitive and intransitive groups
11. On permutation-groups: transitivity and primitivity
12. On the representation of a group of finite order as a permutation-group
13. On groups of linear substitutions
14. On the representation of a group of finite order as a group of linear substitutions
15. On group-characteristics
16. Some applications of the theory of groups of linear substitutions and of group-characteristics
17. On the invariants of groups of linear substitutions
18. On the graphical representation of a group
19. On the graphical representation of groups
20. On congruence groups
Notes
Index of technical terms
Index of authors quoted
General index.

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