nonabelian
Adjective
Meaning
nonabelian (not comparable)
Not abelian.
Examples
Hence it is surprising that Tarski's student Wanda Szmielew (1955) proved that the first order theory of abelian groups, unlike its nonabelian counterpart, is decidable.
However, matrix multiplication is not commutative, therefore this group is nonabelian.
The classification of nonabelian simple groups is far less trivial.