[GAP Forum] RightCosets and reconstructing a subgroup
Caroline Keil
ckeil at math.uni-duesseldorf.de
Tue Jun 6 17:13:17 BST 2006
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
> *********************************
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