[GAP Forum] Presentation of G_2(3)

Alireza Abdollahi alireza_abdollahi at yahoo.com
Mon Apr 1 15:26:02 BST 2019


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Alireza Abdollahi

Alireza Abdollahi

> On Apr 1, 2019, at 4:16 PM, William Giuliano <williamgiuliano00 at gmail.com> wrote:
> 
> Dear Forum,
>                     I need to consider the simple group G_2(3) as a
> finitely presented group. I tried to start both with
> G:=PrimitiveGroup(378,7) and G:=SimpleGroup(“G_2(3)”)
> and then use
> IsomorphismFpGroup(G) and
> IsomorphismFpGroupByGenerators(G,SmallGeneratingSet(G))
> but in both cases it seems that GAP (and also MAGMA) is not able to work
> well with the given presentation. I mean that if I try to construct a Fp
> group using the generators and the relations given by the isomorphisms
> above, not even the order of the group seems to be available. Is it
> hopeless because of the size of G, or are there ways of dealing with this
> problem?
> 
> Thank you very much
> William
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