Let 
be a group
with normal series (
, 
,
..., 
).
A normal factor of 
is a quotient group 
for some index 
. 
is a solvable group iff
all normal factors are Abelian.
Normal Factor
See also
Abelian Group, Group, Normal Series, Normal Subgroup, Solvable GroupThis entry contributed by David Terr
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Terr, David. "Normal Factor." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NormalFactor.html