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Solvable not implies nilpotent

1 byte removed, 22:12, 18 June 2011
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| [[nilpotent group]] || The [[upper central series]] terminates at the whole group. For a finite group, this is equivalent to being the [[direct product]] of its [[Sylow subgroup]]s (see [[finite nilpotent group]], [[equivalence of definitions of finite nilpotent group]]
| [[supersolvable solvable group]] || There is a [[normal subnormal series]] where all the successive quotient groups are [[cyclic abelian group]]s.
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