Fundamentals of Group Theory

An Advanced Approach

Authors: Roman, Steven

  • 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
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eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-8301-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-0-8176-8300-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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)


Table of contents (13 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-8301-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-0-8176-8300-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Group Theory
Book Subtitle
An Advanced Approach
Authors
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Steven Roman
eBook ISBN
978-0-8176-8301-6
DOI
10.1007/978-0-8176-8301-6
Hardcover ISBN
978-0-8176-8300-9
Edition Number
1
Number of Pages
XII, 380
Number of Illustrations and Tables
21 b/w illustrations
Topics