Adjective
non-Abelian (not comparable)
Alternative form of nonabelian.
A group in which the group operation is not commutative is called a "non-abelian group" or "non-commutative group". Source: Internet
A similar unsolved (as of 2011) question in free probability theory asks whether the von Neumann group algebras of any two non-abelian finitely generated free groups are isomorphic. Source: Internet
Since the Galois group of the general quintic equation is isomorphic to the symmetric group on five letters, and this normal subgroup is simple and non-abelian, the general quintic equation does not have a solution in radicals. Source: Internet
For general non-abelian locally compact groups, harmonic analysis is closely related to the theory of unitary group representations. Source: Internet
For a non-abelian example, consider the subgroup of rotations of R 3 generated by two rotations by irrational multiples of 2π about different axes. Source: Internet
For this behaviour the non-abelian behaviour of the gauge group is essential. Source: Internet