Definition of metabelian in English:

metabelian

(also meta-abelian)

adjective

Mathematics
  • Of a group or a Lie algebra: expressible as an extension of one abelian group or Lie algebra by another abelian group or Lie algebra; having the property that its commutator subgroup or subalgebra is abelian.

Origin

Early 20th century (in an earlier sense). From meta- + Abelian.

Pronunciation

metabelian

/ˌmɛtəˈbiːlɪən/