Articles liés à Linear Groups: With an Exposition of the Galois Field...
Présentation de l'éditeur
Excerpt from Linear Groups With an Exposition, of the Galois Field Theory
Since the appearance in 1870 of the great work of Camille Jordan on substitutions and their applications there have been many important additions to the theory of finite groups. The books of Netto, Weber and Burnside have brought up to date the theory of abstract and substitution groups. On the analytic side the theory of linear groups has received much attrition in view of their frequent occurrence in mathematical problems both of theory and of application. The theory of collineation groups will be treated in a forthcoming volume by Loewy. There remains the subject of linear groups in a finite field (including linear congruence groups) having immediate application in many problems of geometry and function-theory and furnishing a natural method for the investigation of extensive classes of important groups. The present volume is intended as an introduction to this subject. While the exposition is restricted to groups in a finite field (endliche Korper) the method of investigation is applicable to groups in an infinite field; corresponding theorems for continuous and collineation groups may often be enunciated without modification of the text.
The earlier chapters of the text are devoted to an elementary exposition of the theory of Galois Fields chiefly in their abstract form. The conception of an abstract field is introduced by means of the simplest example that of the classes of residues with respect to a prime modulus. In view of the theorem of Moore that every finite field may be represented as a Galois Field, our investigations acquire complete generality when we take as basis the general Galois Field. It was found to be impracticable to attempt to indicate the sources of the individual theorems and conceptions of the theory. Aside from the independent discovery of theorems by different writers and a general lack of reference to earlier papers, the later writers have given...
Présentation de l'éditeur
This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurForgotten Books
- Date d'édition2019
- ISBN 10 1332021077
- ISBN 13 9781332021079
- ReliureBroché
- Langueanglais
- Nombre de pages326
Acheter neuf
Afficher cet article
EUR 18,31
Gratuit expédition depuis Royaume-Uni vers Etats-Unis
Destinations, frais et délaisAutres éditions populaires du même titre
Résultats de recherche pour Linear Groups: With an Exposition of the Galois Field...
Image fournie par le vendeur
Linear Groups: With an Exposition of the Galois Field Theory (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book presents a comprehensive examination of linear groups in a Galois Field. It is an essential resource for those interested in the field of finite groups, specifically the theories of abstract and substitution groups. Galois Fields, also known as finite fields, are algebraic structures with a finite number of elements. Since their introduction in the 19th century, Galois Fields have received considerable attention in various branches of mathematics. The book provides a detailed study of the structure, properties, and applications of linear groups within Galois Fields. It presents foundational concepts and delves into advanced topics, including the classification of linear homogeneous groups and the study of subgroups and their properties. The book's insights have significant implications for understanding the behavior and applications of linear groups in Galois Fields, making it an invaluable resource for mathematicians, computer scientists, and anyone interested in the interplay between algebra and finite group theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332021079_0
Quantité disponible : Plus de 20 disponibles
Image d'archives
Linear Groups
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332021079
Quantité disponible : 15 disponible(s)
Image d'archives
Linear Groups
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332021079
Quantité disponible : 15 disponible(s)
Image d'archives
Linear Groups with an Exposition, of the Galois Field Theory (Classic Reprint)
impression à la demandeVendeur : Revaluation Books, Exeter, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : Brand New. 326 pages. 9.00x6.00x0.74 inches. This item is printed on demand. N° de réf. du vendeur zk1332021077
Quantité disponible : 1 disponible(s)