anabelian

Etymology

 * coined to imply a nuancedly stronger condition than "merely" noncommutative (see ).

Adjective

 * 1)  Of or relating to anabelian geometry, a proposed theory describing the way the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being an abelian group, in a sense to be made more precise.

Usage notes

 * The term reflects the notion that the further G is from being commutative, the more information it contains about V, and therefore the greater relevance it has to the theory.