What does "anabelian" mean?

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.

How do you pronounce "anabelian"?

Pronounced //ˌænəˈbiliən//.

Anabelian

//ˌænəˈbiliən// adj

adj ·Rare ·Advanced level

Definitions

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. not-comparable
"We end up this section with the following remarks, both for the sake of completeness, but mostly because of the relevance of the facts we want to mention for the anabelian phenomena."

Example

More examples

"We end up this section with the following remarks, both for the sake of completeness, but mostly because of the relevance of the facts we want to mention for the anabelian phenomena."

Etymology

From an- (“not”) + abelian (“commutative”); coined to imply a nuancedly stronger condition than "merely" noncommutative (see an-).

Related phrases

abelian group fundamental group

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.