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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
 
Alastair J. Litterick University of Auckland, Auckland, New Zealand
On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
eBook ISBN:  978-1-4704-4409-9
Product Code:  MEMO/253/1207.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
Alastair J. Litterick University of Auckland, Auckland, New Zealand
eBook ISBN:  978-1-4704-4409-9
Product Code:  MEMO/253/1207.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2532018; 156 pp
    MSC: Primary 20

    The study of finite subgroups of a simple algebraic group \(G\) reduces in a sense to those which are almost simple. If an almost simple subgroup of \(G\) has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of \(G\), then the subgroup is called non-generic. This paper considers non-generic subgroups of simple algebraic groups of exceptional type in arbitrary characteristic.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction and Results
    • 2. Background
    • 3. Calculating and Utilising Feasible Characters
    • 4. Normaliser Stability
    • 5. Complete Reducibility
    • 6. Tables of Feasible Characters
    • A. Auxiliary Data
  • Additional Material
     
     
  • 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
Volume: 2532018; 156 pp
MSC: Primary 20

The study of finite subgroups of a simple algebraic group \(G\) reduces in a sense to those which are almost simple. If an almost simple subgroup of \(G\) has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of \(G\), then the subgroup is called non-generic. This paper considers non-generic subgroups of simple algebraic groups of exceptional type in arbitrary characteristic.

  • Chapters
  • 1. Introduction and Results
  • 2. Background
  • 3. Calculating and Utilising Feasible Characters
  • 4. Normaliser Stability
  • 5. Complete Reducibility
  • 6. Tables of Feasible Characters
  • A. Auxiliary Data
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
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