solvable groupSolvable2002-01-05 04:38:142006-04-30 00:23:08Definition\usepackage{amssymb}
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\usepackage{xypic}A group $G$ is {\em solvable} if it has a subnormal series
$$
G = G_0 \supset G_1 \supset \cdots \supset G_n = \{1\}
$$
where all the quotient groups $G_i/G_{i+1}$ are abelian.