On Friday, June 13, 2014 6:18:19 PM UTC+1, Nils Bruin wrote:
>
> This is also where we see that FiniteEnumeratedSet is horrible for 
> caching: its computation is totally trivial.
>

Thats generally the case for parents. The point is not that constructing a 
parent is super-difficult, but that it provides an object that plays nicely 
with the rest of Sage and is a natural point at which to attach more 
functionality (which can then be costly to compute). Finitely presented 
groups are parents, construction is trivial, but investigating their 
properties is not. 

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