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Abelian vs Metabelian - What's the difference?

abelian | metabelian |

In mathematics terms the difference between abelian and metabelian

is that abelian is having a commutative defining operation while metabelian is having an abelian commutator subgroup.

As a noun Abelian

is a member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel.

abelian

English

Adjective

(-)
  • (mathematics) Having a commutative defining operation.
    • Related terms
    * abelian algebra * abelian group * abelian operation * abelian ring

    References

    metabelian

    English

    Adjective

    (Metabelian group) (-)
  • (mathematics) Having an abelian commutator subgroup