Linear Groups: With an Exposition of the Galois Field Theory (Classic Reprint)

Description: 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. Forgotten Books publishes hundreds of thousands of rare and classic books.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some aesthetic errors may persist, however it has been deemed that any such will not detract from the work's significant historical value. The digital edition of all books may be viewed on our website before purchase.

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