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: Burnside's lemma | Statement: [Lagrange's theorem in group theory, isRelatedTo, Burnside's lemma]

Target entity: Burnside's lemma
Context triple: [Lagrange's theorem in group theory, isRelatedTo, Burnside's lemma]

• A. Burnside's lemma chosen
  Burnside's lemma is a result in group theory and combinatorics that counts distinct configurations under symmetries by averaging the number of fixed points of group actions.
• B. Pólya enumeration theorem
  The Pólya enumeration theorem is a fundamental result in combinatorics that counts distinct configurations of objects under group actions by using cycle index polynomials and generating functions.
• C. Lagrange's theorem in group theory
  Lagrange's theorem in group theory is a fundamental result stating that the order of any subgroup of a finite group divides the order of the group.
• D. The Twelvefold Way
  The Twelvefold Way is a framework in combinatorics that systematically classifies twelve fundamental ways of counting functions between finite sets under various labeling and structural constraints.
• E. Noether's isomorphism theorems
  Noether's isomorphism theorems are fundamental results in abstract algebra that relate quotient structures and substructures of groups, rings, and modules, providing a unifying framework for understanding homomorphic images and factor structures.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.