Sorry, I didn't look at your examples carefully enough. I agree that these 
should have the same parent.
Andrew

On Saturday, 4 May 2019 16:18:40 UTC+10, Daniel Krenn wrote:
>
> On 04.05.19 06:04, Andrew wrote: 
> > The `Permutation` function is more general. For example, the folllowing 
> > all work: [...] 
>
> Thank you. But sorry, this does not answer my question. Maybe I should 
> be more precise: 
>
> What is the idea behind 
> | 
> sage: Permutation([5,4,3,2,1]).parent() 
> Standard permutations 
> sage: Permutation('(1,5)(2,4)(3)').parent() 
> Standard permutations of 5 
> | 
> returning different parents? (I.e. why the diffent parent depending on 
> the input format?) 
>

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