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 The CRAG Software Library FAQ ```// Copyright (C) 2006 Alexander Ushakov // Contents: Example for SubgroupFG::areConjugate( ) // // Principal Authors: Alexander Ushakov // // Revision History: // #include #include "SubgroupFG.h" int main( ) { ``````// How do I check if two subgroup are conjugate? int N = 2; vector< Word > gens; SubgroupFG Sbgp( N ); for( int i=0 ; i<2 ; ++i ) Sbgp += Word::randomWord( N , 5 ); Word c1 = Word::randomWord( N , 5 ); SubgroupFG Sbgp1 = Sbgp^c1; Word c2 = Word::randomWord( N , 5 ); SubgroupFG Sbgp2 = Sbgp^c2; // Determine if subgroups Sbgp1 and Sbgp2 are conjugate pair< bool , Word > C = Sbgp1.areConjugate( Sbgp2 ); if( C.first ) { // If subgroups are conjugate cout << "Subgroups are conjugate" << endl; // Check the correctness of the conjugator if( Sbgp2==(Sbgp1^C.second) ) { cout << "conjugator is correct" << endl; } else { cout << "conjugator is incorrect" << endl; } } else { // If subgroups are not conjugate cout << "Subgroups are not conjugate" << endl; } return 0; } ```

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