Theory of Groups of Finite Order (Classic Reprint) - Couverture souple

W. Burnside

Couverture souple

ISBN 10 : 1332070833 ISBN 13 : 9781332070831

Editeur : Forgotten Books, 2018

Synopsis

A clear, rigorous introduction to the theory of groups of finite order. This classic text presents the main outlines of pure group theory, focusing on foundational ideas rather than applications. It guides readers from notation and basic properties to deeper structure, isomorphism, and classification.

The book approaches the subject from a general point of view, developing a theory of finite groups that stands apart from any single representation. It emphasizes the ideas that help a reader understand how groups behave, with careful explanations of notation, proofs, and key theorems.

- Learn the core definitions and notations used to study substitutions, groups, and their operations.
- Explore fundamental results about subgroups, isomorphism, and representations that do not depend on a specific mode of representation.
- Discover topics like transitive and primitive groups, Sylow’s theorem, composition series, and the holomorph of groups.
- See how simple and composite groups, abelian groups, and groups of prime power order fit into the larger theory.

Ideal for readers of pure mathematics who want a solid foundation in group theory and its structural ideas, before turning to specialized applications or more advanced topics.

A propos du livre

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.

Biographie de l'auteur

British mathematician William Burnside (1852-1927) studied at Cambridge University and was later appointed Professor of Mathematics at the Royal Naval College in Greenwich, UK, where he spent his career. Burnside published more than 150 papers on mathematical topics. Cambridge University Press published the first edition of his classic book, Theory of Groups of Finite Order, in 1897 and in an expanded second edition in 1911. For the next 40-plus years, this book was the classic introduction to group theory, a worthy ancestor of Marshall Hall's The Theory of Groups, first published in 1959 and also now reprinted by Dover.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332070833
• ISBN 13: 9781332070831
• Reliure: Broché
• Nombre de pages: 410
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