Skip to content
Register Sign in Wishlist

A Course in Finite Group Representation Theory

£54.99

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: September 2016
  • availability: In stock
  • format: Hardback
  • isbn: 9781107162396
Average user rating
(1 review)

£ 54.99
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

    • The choice of topics provides a balanced and comprehensive account of the representation theory of arbitrary finite groups
    • Provides a large number of high-quality exercises
    • Careful exposition is given of many topics usually only found in more specialized texts
    Read more

    Reviews & endorsements

    'This is a well-written and motivated book, with carefully chosen topics, examples and exercises to engage the reader, making it suitable in the classroom or for self-study.' Felipe Zaldivar, MAA Reviews

    'The author aims to provide a comprehensive but fastpaced grounding in results which can be applied to areas as diverse as number theory, combinatorics, topology or commutative algebra … While the proofs are rigorous, the style is relatively informal and designed to showcase as many results as possible which are applicable beyond the realms of \pure representation theory.' Stuart Martin, MathSciNet

    See more reviews

    Customer reviews

    19th Sep 2017 by Chenxuemei

    It's good to my study,really helpful,my thanks to the author.I will make good use of the book

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: September 2016
    • format: Hardback
    • isbn: 9781107162396
    • length: 336 pages
    • dimensions: 235 x 158 x 23 mm
    • weight: 0.62kg
    • availability: In stock
  • Table of Contents

    1. Representations and Maschke's theorem
    2. Algebras with semisimple modules
    3. Characters
    4. Construction of characters
    5. Theorems of Mackey and Clifford
    6. p-groups and the radical
    7. Projective modules for algebras
    8. Projective modules for group algebras
    9. Splitting fields and the decomposition map
    10. Brauer characters
    11. Indecomposable modules
    12. Blocks.

  • Author

    Peter Webb, University of Minnesota
    Peter Webb is Professor of Mathematics at the University of Minnesota. His research interests focus on the interactions between group theory and other areas of algebra, combinatorics, and topology. In 1988, he was awarded a Whitehead Prize of the London Mathematical Society.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×