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.
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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