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 problem | Statement: [William Burnside, knownFor, Burnside's problem]

Target entity: Burnside's problem
Context triple: [William Burnside, knownFor, Burnside's problem]

• A. Feit–Thompson theorem
  The Feit–Thompson theorem is a landmark result in group theory that proves every finite group of odd order is solvable, marking the first major classification of a broad class of finite simple groups.
• B. Zassenhaus conjecture
  The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
• C. Hilbert’s second problem
  Hilbert’s second problem is one of David Hilbert’s famous list of 23 problems, asking for a proof of the consistency of arithmetic from a finite set of axioms using finitary methods.
• D. Hilbert’s twenty-third problem
  Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
• E. Hilbert's first problem
  Hilbert's first problem is one of David Hilbert’s famous list of 23 problems, asking whether there exists a set whose size is strictly between that of the integers and the real numbers, i.e., the status of the continuum hypothesis.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Burnside's problem
Target entity description: Burnside's problem is a famous question in group theory asking whether a finitely generated group in which every element has finite order must necessarily be finite.

• A. Feit–Thompson theorem
  The Feit–Thompson theorem is a landmark result in group theory that proves every finite group of odd order is solvable, marking the first major classification of a broad class of finite simple groups.
• B. Zassenhaus conjecture
  The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
• C. Hilbert’s second problem
  Hilbert’s second problem is one of David Hilbert’s famous list of 23 problems, asking for a proof of the consistency of arithmetic from a finite set of axioms using finitary methods.
• D. Hilbert’s twenty-third problem
  Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
• E. Hilbert's first problem
  Hilbert's first problem is one of David Hilbert’s famous list of 23 problems, asking whether there exists a set whose size is strictly between that of the integers and the real numbers, i.e., the status of the continuum hypothesis.
• F. None of above. chosen