The Theory Of Groups - Couverture rigide

Hall Jr, Marshall

Couverture rigide

ISBN 10 : 1258402939 ISBN 13 : 9781258402938

Editeur : Literary Licensing, LLC, 2012

Synopsis

The Theory of Groups by Marshall Hall Jr. is a comprehensive and rigorous introduction to the theory of abstract algebraic groups. The book begins by defining groups and their basic properties, such as closure, associativity, and inverse elements. It then goes on to explore subgroups, homomorphisms, and isomorphisms, and discusses the fundamental theorem of homomorphisms. The book also covers important topics such as group actions, the Sylow theorems, and the structure of finite abelian groups. In addition, it delves into the theory of free groups, presentations, and relations. The final chapters of the book focus on more advanced topics such as solvable and nilpotent groups, and the classification of finite simple groups. The book includes numerous exercises and examples throughout, making it an ideal resource for students and researchers alike. Overall, The Theory of Groups is a valuable reference for anyone interested in the theory of abstract algebraic groups.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

A propos du livre

Biographie de l'auteur

Marshal Hall, Jr., (1910-1990) worked in Naval Intelligence during World War II, including six months in 1944 at Bletchley Park in the UK, the famed center of British codebreaking. He taught at Ohio State from 1946 until 1959, when he joined the faculty at the California Institute of Technology. In 1971 he became the first IBM Professor at Caltech, the first named chair in math. He retired from Caltech in 1981 and later taught at Emory University. In addition to group theory, he made significant contributions to combinatorics and other areas.

Présentation de l'éditeur

Upon its 1959 publication, this encyclopedic treatment of the current knowledge of group theory was widely praised for its readability and accessibility. Today this volume remains useful as an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area of modern mathematics. "This remarkable book undoubtedly will become a standard text on group theory." -- Eugene Guth, American Scientist.

Détails de l'édition

• Éditeur: Literary Licensing, LLC
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 1258402939
• ISBN 13: 9781258402938
• Reliure: Relié
• Nombre de pages: 444
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible