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: Sylow theorems | Statement: [Theory of Groups, topic, Sylow theorems]

Target entity: Sylow theorems
Context triple: [Theory of Groups, topic, Sylow theorems]

• A. Sylow theorems chosen
  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.
• B. Cauchy's theorem in group theory
  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.
• 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. 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.
• 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.