Skip to content
Register Sign in Wishlist

Sporadic Groups


Part of Cambridge Tracts in Mathematics

  • Date Published: March 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521056861

£ 57.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is followed by the standard construction of Conway of the Leech lattice and the Conway group. The Monster is constructed as the automorphism group of the Griess algebra using some of the best features of the approaches of Griess, Conway, and Tits, plus a few new wrinkles. Researchers in finite group theory will find this text invaluable. The subjects treated will interest combinatorists, number theorists, and conformal field theorists.

    • An excellent companion to Aschbacher's Finite Group Theory, just published in PB (0521 458269 £16.95 net)
    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: March 2008
    • format: Paperback
    • isbn: 9780521056861
    • length: 332 pages
    • dimensions: 228 x 153 x 20 mm
    • weight: 0.51kg
    • availability: Available
  • Table of Contents

    1. Preliminary results
    2. 2-Structure in finite groups
    3. Algebras, codes and forms
    4. Symplectic 2-loops
    5. The discovery, existence, and uniqueness of the sporadics
    6. The Mathieu groups, their Steiner systems, and the Golay code
    7. The geometry and structure of M24
    8. The Conway groups and the Leech lattice
    9. Subgroups of .0
    10. The Griess algebra and the Monster
    11. Subgroups of groups of Monster type
    12. Coverings of graphs and simplicial complexes
    13. The geometry of amalgams
    14. The uniqueness of groups of type M24, He, and L5(2)
    15. The groups U4(3)
    16. Groups of Conway, Suzuki, and Hall-Janko type
    17. Subgroups of prime order in five sporadic groups

  • Author

    Michael Aschbacher, California Institute of Technology

Related Books

also by this author

Sorry, this resource is locked

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

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.