Let F be the free monoid on the alphabet {a1, ..., an}. For which n is F a group?
All n.
Only n = 1.
No n.
No, there are no inverses!
No,
even a1 has no inverse.
Correct.
Let F be the free monoid on the alphabet {a1, ..., an}. For which n is F a group?
All n.
Only n = 1.
No n.