composition factor

(thing) by Evandar Tue Dec 12 2000 at 22:52:23
If G is a group and

G=G1>G2>...>Gn>Gn+1={1}

is a composition series for G, then the quotient groups Gi+1/Gi are called composition factors for G.

The composition factors of a group are unique, by the Jordan-Holder theorem.

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