Theory of Groups of Finite Order by William Burnside
Book Contents :-
1. On Substitutions
2. The Difinition of a Group
3. On The Simpler Properties of a Group Which are Independent of Its Mode of Representation
4. On Abelian Groups
5. On Groups Whose Orders are Powers of Primes
6. On Sylow's Theorem
7. On The Composition Series of a Group
8. On Substitution Groups: Transitive and Intransitive Groups
9. On Substitution Groups: Primitive and Imprimitive Groups
10. On Substitution Groups: Transitivity and Primitivity: (Concluding Properties)
11. On The Isomorphism of a Group With Itself
12. On The Graphical Representation of a Group
13. On The Graphical Representation of a Group: Groups of Genus Zero and Unity: Cayley's Colour Groups
14. On The Linear Group
15. ON Soluble and Composite Groups
APPENDIX: On French and German Technical Terms
About this book :-
1. On Substitutions
2. The Difinition of a Group
3. On The Simpler Properties of a Group Which are Independent of Its Mode of Representation
4. On Abelian Groups
5. On Groups Whose Orders are Powers of Primes
6. On Sylow's Theorem
7. On The Composition Series of a Group
8. On Substitution Groups: Transitive and Intransitive Groups
9. On Substitution Groups: Primitive and Imprimitive Groups
10. On Substitution Groups: Transitivity and Primitivity: (Concluding Properties)
11. On The Isomorphism of a Group With Itself
12. On The Graphical Representation of a Group
13. On The Graphical Representation of a Group: Groups of Genus Zero and Unity: Cayley's Colour Groups
14. On The Linear Group
15. ON Soluble and Composite Groups
APPENDIX: On French and German Technical Terms
Book Detail :-
Title:
Theory of Groups of Finite Order by William Burnside
Publisher:
Cambridge University Press
Year:
1897
Pages:
456
Type:
PDF
Language:
English
ISBN-10 #:
1108050328
ISBN-13 #:
License:
N\A
Amazon:
Amazon
About Author :-
The author
William Burnside
(1852–1927) was a British mathematician, late fellow of Pembroke College Cambridge and Professor of mathematics at The Royal College, Greenwich. The British mathematician William Burnside (1852–1927) and Ferdinand Georg Frobenius (1849–1917), Professor at Zurich and Berlin universities, are considered to be the founders of the modern theory of finite groups. Not only did Burnside prove many important theorems, but he also laid down lines of research for the next hundred two Fields Medals have been awarded for work on problems suggested by him. The Theory of Groups of Finite Order, originally published in 1897, was the first major textbook on the subject. The 1911 second edition (reissued here) contains an account of Frobenius's character theory, and remained the standard reference for many years.
Group Theory