| Version current |
Version 6 |
| A group $G$ is {\em solvable} if it has a subnormal series |
A group $G$ is {\em solvable} if it has a subnormal series |
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| G = G_0 \supset G_1 \supset \cdots \supset G_n = \{1\} |
G = G_0 \supset G_1 \supset \cdots \supset G_n = \{1\} |
| $$ |
$$ |
| where all the quotient groups $G_i/G_{i+1}$ are abelian. |
where all the quotient groups $G_i/G_{i+1}$ are abelian. |