Theory and Applications of Finite Groups by G. A. Miller, H. F. Blichfeldt, L. E. Dickson

Book Contents :-
Part-I SUBSTITUTION AND ABSTRACT GROUPS 1. Examples of Groups and Fundamental Definitions 2. Substitution Groups and Sylow's Theorem 3. Fdndamental Definitions and Theorems of Abstract Groups 4. Abelian Groups 5. Groups Whose Orders are Powers of Prime Numbers 6. Groups Having Simple Abstract Definitions 7. Isomorphisms 8. Solvable Groups Part-II FINITE GROUPS OF LINEAR HOMOGENEOUS TRANS-FORMATIONS 9. Preliminary Theorems 10. The Linear Groups in Two Variables 11. Some Spectal Types of Groups 12. The Linear Groups in Three Variables 13. Group Characteristics Part-III APPLICATIONS OF FINITE GROUPS 14. The Group of an Algebraic Equation for a Given Domain 15. StJFFiCTENT Condition that an Algebraic Equation be Solvable by Radicals 16. Necessary Condition that an Algebraic Equation be solvable 17. Constructions with Ruler and Compasses 18. The Inflexion Points of a Plane Cubic Curve section pack 19. The 27 Straight Lines on a General Cubic Surface and the bitangents to a general quartic curve 20. MoNODROMiE Group

About this book :-
This book is produced from digital images created through the University of Michigan University Library's preservation reformatting program. The aim of this book is to present in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time to preserve the advantage which arises when each branch of an extensive subject is written by one who has long specialized in that branch. The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.

Book Detail :-
Title: Theory and Applications of Finite Groups by G. A. Miller, H. F. Blichfeldt, L. E. Dickson
Publisher: J. Wiley
Year: 1916
Pages: 424
Type: PDF
Language: English
ISBN-10 #: 1603860592
ISBN-13 #:
License: N\A
Amazon: Amazon

About Author :-
The author George Abram Miller (1863 - 1951) an American mathematician who worked mostly on group theory but he was also interested in the history of mathematics. He received his degrees of Bachelor of Arts (1887) and Master of Arts (1890) from Muhlenburg College, and of Doctor of Philosophy (1892) from Cumberland University. He start his career as Professor of Mathematics (1888-1893) at Eureka College, Instructor at the University of Michigan (1893-1895) and Cornell University (1897-1901). He joined as Assistant and Associate Professor at Leland Stanford University (1901-1906). He become Associate Professor, Professor, and Professor Emeritus at the University of Illinois (1906-1951). Miller worked mostly on group theory but he was also interested in the history of mathematics. Although interesting because it was done at an early stage, his work fails to show much depth. He wrote more than 800 articles over a period of 40 years about half at research level, the others aimed at school teachers. His collected works appear in five volumes.

Similar Group Theory Books