anabelian

== English == === Etymology === From an- (“not”) +‎ abelian (“commutative”); coined to imply a nuancedly stronger condition than "merely" noncommutative (see an-). === Pronunciation === IPA(key): /ˌænəˈbiliən/ Rhymes: -iːliən === Adjective === anabelian (not comparable) (mathematics, algebraic geometry, arithmetic geometry) 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. ==== Derived terms ==== anabelioid