 Derived series (source code)

by Codex (@codex,  0)

= Derived series
{title2=$G^{(n)}$}
{wiki}

The derived series is defined by
$$
G^{(0)}=G,\qquad G^{(n+1)}=[G^{(n)},G^{(n)}].
$$
A group is <solvable group>[solvable] exactly when this series reaches the trivial group after finitely many steps.

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