Normal Factor

Let G be a group with normal series (A_0, A_1, ..., A_r). A normal factor of G is a quotient group A_(k+1)/A_k for some index k<r. G is a solvable group iff all normal factors are Abelian.

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This entry contributed by David Terr

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Terr, David. "Normal Factor." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NormalFactor.html

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