I am trying to write an implementation of the Braid group in sage, and
i am finding more dificulties than expected. The reason is that the
categories that would be involved have very few implemented objects.
For instance, the first very basic functionality i am implementing is
just the naive free group arithmetic (with lists of integers). So i
wonder if there is not implementation of the free group in sage
already done (i have looked for it, to no avail).


Another question i wonder is if the category framework would give
support to group actions; and if it doesn't, which would be the
apropriate aproach to implement them.

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