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solvable group

A group is solvable if it is a finite iterated extension of an abelian group by abelian groups. In other words, there exists a finite sequence

{1}G 1G 2G k=G, \{ 1\}\subset G_1 \subset G_2 \subset \ldots \subset G_k = G,

in which G j1G_{j-1} is normal in G jG_j and G j/G j1G_j/G_{j-1} is abelian.

Created on June 16, 2011 17:51:04 by Zoran Škoda (161.53.130.104)