  
  
                          [1X[5XAtlasRep[0m[1X --- A GAP 4 Package[0m
  
  
                                 (Version 1.4)
  
  
                                Robert A. Wilson
  
                               Richard A. Parker
  
                                Simon Nickerson
  
                                  John N. Bray
  
                                 Thomas Breuer
  
  
  
  Robert A. Wilson
      Email:    [7Xmailto:R.A.Wilson@qmul.ac.uk[0m
      Homepage: [7Xhttp://www.maths.qmw.ac.uk/~raw[0m
  Richard A. Parker
      Email:    [7Xmailto:richard@ukonline.co.uk[0m
      Homepage: [7Xhttp://web.ukonline.co.uk/richard[0m
  Simon Nickerson
      Email:    [7Xmailto:simonn@maths.bham.ac.uk[0m
      Homepage: [7Xhttp://web.mat.bham.ac.uk/S.Nickerson[0m
  John N. Bray
      Email:    [7Xmailto:J.N.Bray@qmul.ac.uk[0m
      Homepage: [7Xhttp://www.maths.qmw.ac.uk/~jnb[0m
  Thomas Breuer
      Email:    [7Xmailto:sam@Math.RWTH-Aachen.De[0m
      Homepage: [7Xhttp://www.math.rwth-aachen.de/~Thomas.Breuer[0m
  
  -------------------------------------------------------
  [1XCopyright[0m
  © 2002
  
  We  adopt  the  copyright  regulations  of  [5XGAP[0m as detailed in the copyright
  notice in the [5XGAP[0m Reference Manual.
  
  
  -------------------------------------------------------
  
  
  [1XContents (AtlasRep)[0X
  
  1 Introduction to the [5XAtlasRep[0m Package
    1.1 An [5XATLAS[0m of Group Representations
    1.2 The GAP Interface to the [5XATLAS[0m of Group Representations
    1.3 Web Services for the [5XAtlasRep[0m Package
    1.4 Installing the [5XAtlasRep[0m Package
    1.5 Loading the [5XAtlasRep[0m Package
    1.6 Maintaining the Local Data of the [5XAtlasRep[0m Package
      1.6-1 ReloadAtlasTableOfContents
      1.6-2 StoreAtlasTableOfContents
      1.6-3 ReplaceAtlasTableOfContents
      1.6-4 AtlasOfGroupRepresentationsTestTableOfContentsRemoteUpdates
    1.7 User Parameters for the [5XAtlasRep[0m Package
      1.7-1 Local or Remote Access
      1.7-2 Adding and Removing Servers
      1.7-3 Accessing Data Files with the [5XGAP[0m Package [5XIO[0m or with [11Xwget[0m
      1.7-4 Compressed or Uncompressed Data Files
      1.7-5 Customizing [10XDisplayAtlasInfo[0m
      1.7-6 Customizing the Access to Data Files
      1.7-7 Reading Large Matrices over Finite Fields
      1.7-8 AtlasOfGroupRepresentationsShowUserParameters
    1.8 Extending the [5XATLAS[0m Database
    1.9 What's New in [5XAtlasRep[0m, Compared to Older Versions?
      1.9-1 What's New in Version 1.4?
      1.9-2 What's New in Version 1.3.1?
      1.9-3 What's New in Version 1.3?
      1.9-4 What's New in Version 1.2?
      1.9-5 What's New in Version 1.1?
    1.10 Acknowledgments
  2 The User Interface of the [5XAtlasRep[0m Package
    2.1 Accessing vs. Constructing Representations
    2.2 Group Names Used in the [5XAtlasRep[0m Package
    2.3 Standard Generators Used in the [5XAtlasRep[0m Package
    2.4 Class Names Used in the [5XAtlasRep[0m Package
      2.4-1 Definition of [5XATLAS[0m Class Names
      2.4-2 AtlasClassNames
    2.5 Accessing Data of the [5XAtlasRep[0m Package
      2.5-1 DisplayAtlasInfo
      2.5-2 AtlasGenerators
      2.5-3 AtlasProgram
      2.5-4 OneAtlasGeneratingSetInfo
      2.5-5 AllAtlasGeneratingSetInfos
      2.5-6 AtlasGroup
      2.5-7 AtlasSubgroup
    2.6 Examples of Using the [5XAtlasRep[0m Package
      2.6-1 Example: Class Representatives
      2.6-2 Example: Permutation and Matrix Representations
      2.6-3 Example: Outer Automorphisms
      2.6-4 Example: Using Semi-presentations and Black Box Programs
      2.6-5 Example: Using the [5XGAP[0m Library of Tables of Marks
  3 Private Extensions of the [5XAtlasRep[0m Package
    3.1 Adding a Private Data Directory
      3.1-1 AtlasOfGroupRepresentationsNotifyPrivateDirectory
      3.1-2 AtlasOfGroupRepresentationsForgetPrivateDirectory
    3.2 The Effect of Private Extensions on the User Interface
    3.3 An Example of Extending the [5XAtlasRep[0m Package
  4 New Objects and Utility Functions Provided by the [5XAtlasRep[0m Package
    4.1 Straight Line Decisions
      4.1-1 IsStraightLineDecision
      4.1-2 LinesOfStraightLineDecision
      4.1-3 NrInputsOfStraightLineDecision
      4.1-4 ScanStraightLineDecision
      4.1-5 StraightLineDecision
      4.1-6 ResultOfStraightLineDecision
      4.1-7 Semi-Presentations and Presentations
      4.1-8 AsStraightLineDecision
      4.1-9 StraightLineProgramFromStraightLineDecision
    4.2 Black Box Programs
      4.2-1 IsBBoxProgram
      4.2-2 ScanBBoxProgram
      4.2-3 RunBBoxProgram
      4.2-4 ResultOfBBoxProgram
      4.2-5 AsBBoxProgram
      4.2-6 AsStraightLineProgram
    4.3 Representations of Minimal Degree
      4.3-1 MinimalRepresentationInfo
      4.3-2 MinimalRepresentationInfoData
      4.3-3 SetMinimalRepresentationInfo
      4.3-4 Criteria Used to Compute Minimality Information
      4.3-5 AGR_TestMinimalDegrees
      4.3-6 BrowseMinimalDegrees
    4.4 Bibliographies of Sporadic Simple Groups
      4.4-1 BrowseBibliographySporadicSimple
  5 Technicalities of the [5XAtlasRep[0m Package
    5.1 Global Variables Used by the [5XAtlasRep[0m Package
      5.1-1 InfoAtlasRep
      5.1-2 InfoCMeatAxe
      5.1-3 InfoBBox
      5.1-4 CMeatAxe.FastRead
      5.1-5 AtlasOfGroupRepresentationsInfo
    5.2 How to Customize the Access to Data files
    5.3 Reading and Writing MeatAxe Format Files
      5.3-1 ScanMeatAxeFile
      5.3-2 MeatAxeString
      5.3-3 FFList
      5.3-4 CMtxBinaryFFMatOrPerm
      5.3-5 FFMatOrPermCMtxBinary
    5.4 Reading and Writing [5XATLAS[0m Straight Line Programs
      5.4-1 ScanStraightLineProgram
      5.4-2 AtlasStringOfProgram
    5.5 Data Types Used in the [5XATLAS[0m of Group Representations
      5.5-1 AGRDeclareDataType
    5.6 Filenames Used in the [5XATLAS[0m of Group Representations
      5.6-1 AGRParseFilenameFormat
      5.6-2 AGRFileContents
    5.7 The Tables of Contents of the [5XATLAS[0m of Group Representations
      5.7-1 AGRGNAN
      5.7-2 AGRRNG
    5.8 Sanity Checks for the [5XATLAS[0m of Group Representations
      5.8-1 AtlasOfGroupRepresentationsTestGroupOrders
      5.8-2 AtlasOfGroupRepresentationsTestSubgroupOrders
      5.8-3 AtlasOfGroupRepresentationsTestStdCompatibility
      5.8-4 AtlasOfGroupRepresentationsTestCompatibleMaxes
      5.8-5 AtlasOfGroupRepresentationsTestFileHeaders
      5.8-6 AtlasOfGroupRepresentationsTestWords
      5.8-7 AtlasOfGroupRepresentationsTestFiles
      5.8-8 AtlasOfGroupRepresentationsTestClassScripts
  
  
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