BraidGroup.h

Go to the documentation of this file.
00001 // Copyright (C) 2005 Alexander Ushakov
00002 // Contents: Definition of class BraidGroup
00003 //
00004 // Principal Authors: Alexander Ushakov
00005 //
00006 // Revision History:
00007 //
00008 
00009 #ifndef _BraidGroup_H_
00010 #define _BraidGroup_H_
00011 
00012 #include "Word.h"
00013 
00014 
00015 //---------------------------------------------------------------------------//
00016 //-------------------------------- BraidGroup -------------------------------//
00017 //---------------------------------------------------------------------------//
00018 
00019 
00021 
00026 class BraidGroup
00027 {
00029   //                                                     //
00030   //  Constructors                                       //
00031   //                                                     //
00033  public:
00034 
00036   BraidGroup( int n ) : theRank(n) { }
00037 
00039   //                                                     //
00040   //  Accessors:                                         //
00041   //                                                     //
00043 
00044  public:
00045 
00047   int getRank( ) const { return theRank; }
00048 
00050   Word twist( const Word& w ) const;
00051   
00053   static list< Word > getBraidRelators( int N );
00054 
00055   
00057   //                                                     //
00058   //  Data members                                       //
00059   //                                                     //
00061 private:
00062 
00063   int theRank;
00064   // specifies the number of strands (number of generators + 1)
00065 
00066 };
00067 
00068 #endif