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gap-system-4.4.12-5mdv2010.0.i586.rpm

  
  
                          AtlasRep --- A GAP 4 Package
  
  
                                 (Version 1.4)
  
  
                                Robert A. Wilson
  
                               Richard A. Parker
  
                                Simon Nickerson
  
                                  John N. Bray
  
                                 Thomas Breuer
  
  
  
  Robert A. Wilson
      Email:    mailto:R.A.Wilson@qmul.ac.uk
      Homepage: http://www.maths.qmw.ac.uk/~raw
  Richard A. Parker
      Email:    mailto:richard@ukonline.co.uk
      Homepage: http://web.ukonline.co.uk/richard
  Simon Nickerson
      Email:    mailto:simonn@maths.bham.ac.uk
      Homepage: http://web.mat.bham.ac.uk/S.Nickerson
  John N. Bray
      Email:    mailto:J.N.Bray@qmul.ac.uk
      Homepage: http://www.maths.qmw.ac.uk/~jnb
  Thomas Breuer
      Email:    mailto:sam@Math.RWTH-Aachen.De
      Homepage: http://www.math.rwth-aachen.de/~Thomas.Breuer
  
  -------------------------------------------------------
  Copyright
  © 2002
  
  We  adopt  the  copyright  regulations  of  GAP as detailed in the copyright
  notice in the GAP Reference Manual.
  
  
  -------------------------------------------------------
  
  
  Contents (AtlasRep)
  
  1 Introduction to the AtlasRep Package
    1.1 An ATLAS of Group Representations
    1.2 The GAP Interface to the ATLAS of Group Representations
    1.3 Web Services for the AtlasRep Package
    1.4 Installing the AtlasRep Package
    1.5 Loading the AtlasRep Package
    1.6 Maintaining the Local Data of the AtlasRep Package
      1.6-1 ReloadAtlasTableOfContents
      1.6-2 StoreAtlasTableOfContents
      1.6-3 ReplaceAtlasTableOfContents
      1.6-4 AtlasOfGroupRepresentationsTestTableOfContentsRemoteUpdates
    1.7 User Parameters for the AtlasRep Package
      1.7-1 Local or Remote Access
      1.7-2 Adding and Removing Servers
      1.7-3 Accessing Data Files with the GAP Package IO or with wget
      1.7-4 Compressed or Uncompressed Data Files
      1.7-5 Customizing DisplayAtlasInfo
      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 ATLAS Database
    1.9 What's New in AtlasRep, 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 AtlasRep Package
    2.1 Accessing vs. Constructing Representations
    2.2 Group Names Used in the AtlasRep Package
    2.3 Standard Generators Used in the AtlasRep Package
    2.4 Class Names Used in the AtlasRep Package
      2.4-1 Definition of ATLAS Class Names
      2.4-2 AtlasClassNames
    2.5 Accessing Data of the AtlasRep 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 AtlasRep 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 GAP Library of Tables of Marks
  3 Private Extensions of the AtlasRep 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 AtlasRep Package
  4 New Objects and Utility Functions Provided by the AtlasRep 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 AtlasRep Package
    5.1 Global Variables Used by the AtlasRep 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 ATLAS Straight Line Programs
      5.4-1 ScanStraightLineProgram
      5.4-2 AtlasStringOfProgram
    5.5 Data Types Used in the ATLAS of Group Representations
      5.5-1 AGRDeclareDataType
    5.6 Filenames Used in the ATLAS of Group Representations
      5.6-1 AGRParseFilenameFormat
      5.6-2 AGRFileContents
    5.7 The Tables of Contents of the ATLAS of Group Representations
      5.7-1 AGRGNAN
      5.7-2 AGRRNG
    5.8 Sanity Checks for the ATLAS 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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