Overview
- Integrates classic material and new concepts
- Gives a comprehensive account of the basic theory of groups
- Content is written in a clear, precise and easy to read style
- Provides an introduction for those new to the theory of groups
- Includes supplementary material: sn.pub/extras
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.
This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Reviews
“This is an introductory textbook on group theory which covers its fundamentals in great detail. … What distinguishes the treatment of group theory from that usually given in algebra textbooks is the very detailed presentation. … This charming volume has much to recommend itself.” (Monatshefte für Mathematik, 2015)
“This is a text aimed at graduate students. Its 350 pages or so cover more than enough to teach a year-long course on ‘general group theory’ (meaning here both finite and infinite groups). Most standard topics are covered … in a fresh manner, by insisting on lesser known aspects and by providing newer, more elegant proofs. An adequate collection of proposed exercises comes at the end of each chapter … .” (Marian Deaconescu, Zentralblatt MATH, Vol. 1244, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Fundamentals of Group Theory
Book Subtitle: An Advanced Approach
Authors: Steven Roman
DOI: https://doi.org/10.1007/978-0-8176-8301-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Steven Roman 2012
Hardcover ISBN: 978-0-8176-8300-9Published: 25 October 2011
eBook ISBN: 978-0-8176-8301-6Published: 26 October 2011
Edition Number: 1
Number of Pages: XII, 380
Number of Illustrations: 21 b/w illustrations
Topics: Group Theory and Generalizations, Algebra, Order, Lattices, Ordered Algebraic Structures