Theory of groups of finite order /

• Main Author: Burnside, William 1852-1927
• Format: Book
• Language: English
• Published: New York, N.Y. : Dover, 1955
• Edition: 2nd ed.
• Subjects: TEORIA DE GRUPOS

Table of Contents:

• Contenido: 1. On permutations
• 2. The definition of a group
• 3. On the simpler properties of a group which are independent of its mode of representaqtion
• 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 with 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. Transitivity and primitivity
• 12. On the representation of a group of finite order as a permutation-group
• 13. On groups of linear substitutions; reducible and irreducible groups
• 14. On the representation of a group of finite order as a group of linear sustitutions
• 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. Groups of genus zero and unity Cayley's colour-groups
• 20. On congruence groups.