Theory of Groups of Finite Order - Brossura

Burnside, William

Brossura

ISBN 10: 1108050328 ISBN 13: 9781108050326

Casa editrice: Cambridge University Press, 2012

Riassunto

This foundational work, originally published in 1897 but reissued here in its expanded 1911 edition, remained the standard reference for many years.

Su questo libro

Descrizione del libro

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.

Contenuti

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.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1108050328
• ISBN 13: 9781108050326
• Rilegatura: Copertina flessibile
• Numero di pagine: 544
• Contatto del produttore: non disponibile