Theory of Groups of Finite Order: Cambridge Library Collection - Mathematics
Autor William Burnsideen Limba Engleză Paperback – 10 mai 2012
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Specificații
ISBN-13: 9781108050326
ISBN-10: 1108050328
Pagini: 544
Ilustrații: 1 colour illus.
Dimensiuni: 140 x 216 x 32 mm
Greutate: 0.76 kg
Editura: Cambridge University Press
Seria Cambridge Library Collection - Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1108050328
Pagini: 544
Ilustrații: 1 colour illus.
Dimensiuni: 140 x 216 x 32 mm
Greutate: 0.76 kg
Editura: Cambridge University Press
Seria Cambridge Library Collection - Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Descriere
This foundational work, originally published in 1897 but reissued here in its expanded 1911 edition, remained the standard reference for many years.