[GAP Forum] Permutation Representation

[Jack Schmidt]

Yes, the command is:

hom := FactorCosetAction(G,H);

This gives the permutation representation as a homomorphism.  The  
permutation group itself can be gotten by:

prmgrp := Image( hom );

See http://www.gap-system.org/Manuals/doc/htm/ref/CHAP039.htm#SECT007

On 2009-05-18, at 11:10, Vivek Jain wrote:

>
> I want to discuss the following problem with Gap Forum
>
> "Let $G$ be a group and $H$ be its proper subgroup. Then using GAP  
> how can we get the Permutation Representation of $G$ on the set of  
> right cosets of $H$ in $G$."
>
>
>
> Vivek Kumar Jain
> HRI, Allahabad
> India-211019
>
>
>
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