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

$$\{1\}\subset {G}_{1}\subset {G}_{2}\subset \dots \subset {G}_{k}=G,$$

in which ${G}_{j-1}$ is normal in ${G}_{j}$ and ${G}_{j}/{G}_{j-1}$ is abelian.

- eom: solvable group, Lie group, solvable
- wikipedia solvable group

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