The story
From an- (“not”) + abelian (“commutative”); coined to imply a nuancedly stronger condition than "merely" noncommutative (see an-).
Etymology from Wiktionary, CC BY-SA 4.0.
anabelian
Today it means: 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. Full definition →