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I have touched the formatting at free groupoid. Then I added the statement that the fundamental groups of a free groupoid are free. Also added a pointer to a writeup of the proof.
Just unimportant question: is there an analogue of Fox derivative for free groupoids considered anywhere (Fox derivative is originally defined for group algebras of free groups) ?
Yes. Ronnie, with Phil Higgins did something on those lines and I think it is in the triple authored book.
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