Read more
Klappentext This foundational work, originally published in 1897 but reissued here in its expanded 1911 edition, remained the standard reference for many years. Zusammenfassung William Burnside (1852–1927) was one of the founders of the modern theory of finite groups. This book, originally published in 1897, is reissued here in the updated second edition of 1911. It includes an account of the character theory of Ferdinand Georg Frobenius (1849–1917), which influenced Burnside's research. Inhaltsverzeichnis 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.
