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: Cauchy’s theorem in group theory | Statement: [Augustin-Louis Cauchy, notableFor, Cauchy’s theorem in group theory]

Target entity: Cauchy’s theorem in group theory
Context triple: [Augustin-Louis Cauchy, notableFor, Cauchy’s theorem in group theory]

• A. Cauchy's theorem in group theory chosen
  Cauchy's theorem in group theory is a fundamental result stating that if a finite group’s order is divisible by a prime p, then the group contains an element (and hence a subgroup) of order p.
• B. 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.
• C. Theorie der Gruppen von endlicher Ordnung
  "Theorie der Gruppen von endlicher Ordnung" is a foundational mathematical monograph on finite group theory that helped shape the modern development of abstract algebra.
• D. Chevalley–Warning theorem
  The Chevalley–Warning theorem is a result in number theory and algebraic geometry that gives conditions under which systems of polynomial equations over finite fields must have nontrivial solutions.
• E. Sylow theorems
  The Sylow theorems are fundamental results in finite group theory that describe the existence, conjugacy, and number of subgroups whose orders are powers of a prime dividing the group order.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.