[GAP Forum] RightCosets and reconstructing a subgroup

[Caroline Keil]

Hello,

I am doing some research with G=PSL(2,Z) and subgroups. Therefore, I have 
constructed G as follows:
	# free group mit B=F.1, S=F.2
	F := FreeGroup( "B", "S");;
	# Relations
	G := F / [ F.1^2,F.2^3];;
	B:=G.1;;S:=G.2;;

For some subgroups H in G, I only know representatives r_1,...r_n given as 
words in B and S of the right cosets H\G and with this information I want 
to construct the group H.
How can I get a proper coset table for H\G, or is there any other 
possibily to gain the generators of H ?

I hope you can help me !

Thank you

Caroline Keil



> *********************************
> Caroline Keil
> Mathematisches Institut
> Heinrich-Heine-Universitaet Duesseldorf
> Universitaetsstrasse 1
> 40225 Duesseldorf
> ckeil at math.uni-duesseldorf.de
> *********************************