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A group $G$ is solvable if there exists a chain of subgroups \[ \langle e\rangle =H_0\leq H_1 \leq H_2 \leq \cdots \leq H_n=G\] such that for all $i<n$, $H_i$ is a normal subgroup of $H_{i+1}$ (i.e., it is a subnormal series) and each quotient $H_{i+1}/H_i$ is abelian.

Knowl status:
  • Review status: reviewed
  • Last edited by Jennifer Paulhus on 2022-07-19 08:58:08
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