What is the general term $\Gamma_k(F_n)/\Gamma_{k+1}(F_n)$, where $F_n$ is the free group of $n$ generators and $\Gamma_k(F_n)$ is the $k$th term in the descending central series of $F_n$?
2026-03-26 06:29:07.1774506547
Descending central series of free groups
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They are free abelian groups with free basis consisting of the images of certain basic commutators. Check the wikipedia article on central series for references. (It is all in Marshall Hall's book on Group Theory.)