Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
 
Bob Oliver :  LAGA, Institut Galilée, Université Paris, Villetaneuse, France
Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
eBook ISBN:  978-1-4704-2745-0
Product Code:  MEMO/239/1131.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $47.40
Add to cart
Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
Click above image for expanded view
Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4
Bob Oliver :  LAGA, Institut Galilée, Université Paris, Villetaneuse, France
eBook ISBN:  978-1-4704-2745-0
Product Code:  MEMO/239/1131.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $47.40
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 239; 2015; 100 pp
    MSC: Primary 20

    The author classifies all reduced, indecomposable fusion systems over finite \(2\)-groups of sectional rank at most \(4\). The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional \(2\)-rank at most \(4\). But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Background on fusion systems
    • 2. Normal dihedral and quaternion subgroups
    • 3. Essential subgroups in $2$-groups of sectional rank at most $4$
    • 4. Fusion systems over $2$-groups of type $G_2(q)$
    • 5. Dihedral and semidihedral wreath products
    • 6. Fusion systems over extensions of $\mathit {UT}_3(4)$
    • A. Background results about groups
    • B. Subgroups of $2$-groups of sectional rank $4$
    • C. Some explicit $2$-groups of sectional rank $4$
    • D. Actions on $2$-groups of sectional rank at most $4$
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 239; 2015; 100 pp
MSC: Primary 20

The author classifies all reduced, indecomposable fusion systems over finite \(2\)-groups of sectional rank at most \(4\). The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional \(2\)-rank at most \(4\). But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.
  • Chapters
  • Introduction
  • 1. Background on fusion systems
  • 2. Normal dihedral and quaternion subgroups
  • 3. Essential subgroups in $2$-groups of sectional rank at most $4$
  • 4. Fusion systems over $2$-groups of type $G_2(q)$
  • 5. Dihedral and semidihedral wreath products
  • 6. Fusion systems over extensions of $\mathit {UT}_3(4)$
  • A. Background results about groups
  • B. Subgroups of $2$-groups of sectional rank $4$
  • C. Some explicit $2$-groups of sectional rank $4$
  • D. Actions on $2$-groups of sectional rank at most $4$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Powered by MathJax
Please select which format for which you are requesting permissions.