On Wed, Jul 23, 2014 at 7:56 AM, Nathann Cohen <nathann.co...@gmail.com> wrote:
> Yooooooooooooo !!
>
>> Is this a confusion over categories, Nathann?
>
>
> Or natural stupidity, your choice.
>
>> sage: G1 = CyclicPermutationGroup(5)
>> sage: G2 = CyclicPermutationGroup(4)
>> sage: D1 = G1.direct_product(G2,False)
>> sage: D2 = D1.direct_product(G2,False)
>> sage: D2.base_ring()
>> Integer Ring
>
>
> Sooooooo it has the same symbol as the cartesian product, it has the same
> definition, yet it is called a direct product. Thank you T_T
>
> What is the meaning of cartesian product, then ? And what do we do with the
> broken functions ?

I assume cartesian product coerces the object into a set and takes the product.

Honestly, I don't know the intent of the broken functions, so can't
say for sure.
Maybe the person who originally wrote them is still around?

Guesses:

"base_ring" makes no sense in the category of sets. Nor does "gens_dict", AFAIK

"first" I assume means first factor in the product, and similarly for "last".
I don't know why they don't work. They should return the set
associated to the first (resp., last) factor in the product.

>
> Nathann
>
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