Metabelian Group

A group G such that the quotient group G/Z(G), where Z(G) is the group center of G, is Abelian. An equivalent condition is that the commutator subgroup G^' is contained in Z(G).

This entry contributed by Margherita Barile

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Barile, Margherita. "Metabelian Group." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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