A normal factor of 
,
where 
is a group with normal series
(
, 
, ..., 
), 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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Cite this as:
Weisstein, Eric W., with contributions by David Terr. "Normal Factor." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormalFactor.html