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: Jordan–Hölder theorem | Statement: [Camille Jordan, knownFor, Jordan–Hölder theorem]

Target entity: Jordan–Hölder theorem
Context triple: [Camille Jordan, knownFor, Jordan–Hölder theorem]

• A. Jordan–Hölder theorem chosen
  The Jordan–Hölder theorem is a fundamental result in group theory stating that any two composition series of a finite group have the same length and the same (up to order and isomorphism) simple factor groups.
• B. Schreier refinement theorem
  The Schreier refinement theorem is a result in group theory stating that any two subnormal series of a group admit equivalent refinements, serving as a precursor and companion to the Jordan–Hölder theorem.
• C. 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.
• D. Zassenhaus lemma
  The Zassenhaus lemma is a fundamental result in group theory that describes how subgroups in a group extension correspond and relate to each other, often used in the study of composition series and the Jordan–Hölder theorem.
• 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.