Skip to content
Register Sign in Wishlist
Look Inside Finite Groups and Finite Geometries

Finite Groups and Finite Geometries

$62.99 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: February 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521183789

$ 62.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The purpose of this 1982 book is to present an introduction to developments which had taken place in finite group theory related to finite geometries. This book is practically self-contained and readers are assumed to have only an elementary knowledge of linear algebra. Among other things, complete descriptions of the following theorems are given in this book; the nilpotency of Frobneius kernels, Galois and Burnside theorems on permutation groups of prime degree, the Omstrom–Wagner theorem on projective planes, and the O'Nan and Ito theorems on characterizations of projective special linear groups. Graduate students and professionals in pure mathematics will continue to find this account of value.

    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 2011
    • format: Paperback
    • isbn: 9780521183789
    • length: 342 pages
    • dimensions: 216 x 140 x 19 mm
    • weight: 0.44kg
    • availability: Available
  • Table of Contents

    Part I. Introduction:
    1. Notation and preliminaries
    2. Groups
    3. Algebraic structures
    4. Vector spaces
    5. Geometric structures
    Part II. Fundamental Properties of Finite Groups:
    1. The Sylow theorems
    2. Direct products and semi-direct products
    3. Normal series
    4. Finite Abelian groups
    5. p-groups
    6. Groups with operators
    7. Group extensions and the theorem of Schur–Zassenhaus
    8. Normal π-complements
    9. Normal p-complements
    10. Representation of finite groups
    11. Frobenius groups
    Part III. Fundamental Theory of Permutation Groups:
    1. Permutations
    2. Transitivity and intransitivity
    3. Primitivity and imprimitivity
    4. Multiple transitivity
    5. Normal subgroups
    6. Permutation groups of prime degree
    7. Primitive permutation groups
    Part IV. Examples - Symmetric Groups and General Linear Groups:
    1. Conjugacy classes and composition series of the symmetric and alternating group
    2. Conditions for being a symmetric or alternating group
    3. Subgroups and automorphism groups of SΩ and AΩ
    4. Generators and fundamental relations for Sn and An
    5. The structure of general semi-linear groups
    6. Properties of PSL(V) as a permutation group (dim V ≥ 3)
    7. Symmetric groups and general linear groups of low order
    Part V. Finite Projective Geometry:
    1. Projective planes and affine planes
    2. Higher-dimensional
    projective geometry
    3. Characterization of projective geometries
    Part VI. Finite Groups and Finite Geometries:
    1. Designs constructed from 2-transitive groups
    2. Characterization of projective transformation
    Epilogue
    Index.

  • Author

    T. Tsuzuku

    Translators

    A. Sevenster

    T. Okuyama

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.
×