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Subgroup Chains

CompositionSeries(G) : GrpAb -> [GrpAb]
A composition series for the finite abelian group G returned as a sequence of subgroups.
Agemo(G, i) : GrpAb, RngIntElt -> GrpAb
Given a finite p-group G, return the characteristic subgroup of G generated by the elements xpi, x ∈G, where i is a positive integer.
Omega(G, i) : GrpAb, RngIntElt -> GrpAb
Given a finite p-group G, return the characteristic subgroup of G generated by the elements of order dividing pi, where i is a positive integer.
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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013