Skip to content
Register Sign in Wishlist
Look Inside Theory of Finite Simple Groups II

Theory of Finite Simple Groups II
Commentary on the Classification Problems

£145.00

Part of New Mathematical Monographs

  • Date Published: February 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521764919

£ 145.00
Hardback

Add to cart Add to wishlist

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 is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm.

    • Builds on the new theoretical and algorithmic approach to abstract finite groups developed in the first volume
    • Presents a new algorithm which can be used to construct 25 sporadic simple groups, and provide existence and uniqueness proofs
    • The accompanying DVD documents computational existence proofs
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    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: February 2010
    • format: Hardback
    • isbn: 9780521764919
    • length: 746 pages
    • dimensions: 234 x 159 x 40 mm
    • weight: 1.13kg
    • contains: 140 tables
    • availability: In stock
  • Table of Contents

    Acknowledgements
    Introduction
    1. Simple groups and indecomposable subgroups of GLn(2)
    2. Dickson group G2(3) and related simple groups
    3. Conway's simple group Co3
    4. Conway's simple group Co2
    5. Fischer's simple group Fi22
    6. Fischer's simple group Fi23
    7. Conway's simple group Co1
    8. Janko group J4
    9. Fischer's simple group Fi'24
    10. Tits group 2F4(2)'
    11. McLaughlin group McL
    12. Rudvalis group Ru
    13. Lyons group Ly
    14. Suzuki group Suz
    15. The O'Nan group ON
    16. Concluding remarks and open problems
    Appendix: Table of contents of attached DVD
    References
    Index.

  • Author

    Gerhard Michler, Cornell University, New York
    Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the University of Duisburg-Essen and Adjunct Professor at Cornell University.

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.
×