composition series


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composition series

[‚käm·pə′zish·ən ′sir‚ēz]
(mathematics)
A normal series G1, G2, …, of a group, where each Gi is a proper normal subgroup of Gi-1and no further normal subgroups both contain Gi and are contained in Gi-1.
References in periodicals archive ?
He introduces modules, then covers finely integrated modules and their application to Abelian groups, simple modules and composition series.
For n = 1, the maximal series of normal multi-group subspaces is just a composition series of a finite group.
By Jordan-Holder theorem, we know the length of this composition series is a constant, dependent only on ([G.