Theory and Applications of Finite Groups (Classic Reprint) - Couverture souple

G. A. Miller

 
9781332070800: Theory and Applications of Finite Groups (Classic Reprint)

Synopsis

Explore the essentials of finite groups and the pathways that connect solvable and simple structures to real-world problems. This introductory work surveys substitution and abstract groups, builds from fundamental definitions to key theorems, and shows how these ideas link to classical questions in algebra and geometry. It guides readers from basic concepts through practical tools used in modern group theory, Galois theory, and their applications.

- Learn the core ideas of solvable and simple groups and how they unfold through composition and chief series.
- See how groups of permutations, matrices, and transformations illuminate problems in number theory, geometry, and algebra.
- Discover the connections between abstract theory and concrete examples, with exercises to reinforce understanding.
- Explore historical context and the evolution of group theory across Part I–III, including classical applications and modern viewpoints.

Ideal for readers of advanced algebra and students seeking a thorough, approachable introduction to the theory and applications of finite groups.

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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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