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: Zassenhaus lemma in group theory | Statement: [Hans Zassenhaus, notableConcept, Zassenhaus lemma in group theory]

Target entity: Zassenhaus lemma in group theory
Context triple: [Hans Zassenhaus, notableConcept, Zassenhaus lemma in group theory]

• A. Zassenhaus lemma chosen
  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.
• 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. 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. 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.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.