Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Bloch group | Statement: [Dehn invariant, relatedTo, Bloch group]

Target entity: Bloch group
Context triple: [Dehn invariant, relatedTo, Bloch group]

• A. Grothendieck group
  The Grothendieck group is an algebraic construction that formally turns a commutative monoid (often arising from isomorphism classes of objects like vector bundles or modules) into an abelian group, playing a central role in K-theory and modern algebraic geometry.
• B. Brauer group
  The Brauer group is an algebraic structure that classifies equivalence classes of central simple algebras over a field (or more general schemes), playing a key role in number theory, algebraic geometry, and cohomology.
• C. Grothendieck ring
  The Grothendieck ring is an algebraic structure formed from isomorphism classes of objects (such as varieties or modules), where addition comes from direct sum or disjoint union and multiplication from tensor product or Cartesian product, encoding their relations in a universal way.
• D. Milnor K-theory chosen
  Milnor K-theory is an algebraic K-theory constructed from fields using tensor powers of their multiplicative groups modulo Steinberg relations, playing a central role in modern algebraic geometry and number theory.
• E. “Braids, Links, and Mapping Class Groups”
  “Braids, Links, and Mapping Class Groups” is a foundational monograph in low-dimensional topology that systematically develops the theory of braids, links, and mapping class groups and their interrelations.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.