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: Frobenius conjugacy class | Statement: [Chebotarev density theorem, usesConcept, Frobenius conjugacy class]

Target entity: Frobenius conjugacy class
Context triple: [Chebotarev density theorem, usesConcept, Frobenius conjugacy class]

• A. Furtwängler’s theorem in class field theory
  Furtwängler’s theorem in class field theory is a fundamental result in algebraic number theory that refines the principal ideal theorem by describing how ideal classes capitulate (become principal) in certain abelian extensions of number fields.
• B. Chebotarev density theorem
  The Chebotarev density theorem is a fundamental result in algebraic number theory that generalizes the prime number theorem to describe how often primes in a number field have a given Frobenius conjugacy class in its Galois group.
• C. Algebraic Groups and Class Fields
  "Algebraic Groups and Class Fields" is a influential mathematical monograph that develops the deep connections between algebraic group theory and class field theory within number theory and arithmetic geometry.
• D. orbit-stabilizer theorem
  The orbit-stabilizer theorem is a fundamental result in group theory that relates the size of a group acting on a set to the sizes of the orbit of an element and its stabilizer subgroup.
• E. Deligne–Lusztig theory
  Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Frobenius conjugacy class
Triple: [Chebotarev density theorem, usesConcept, Frobenius conjugacy class]

A Frobenius conjugacy class is the set of all conjugates of a Frobenius element in a Galois group, encapsulating how a prime ideal splits in a given Galois extension.

Target entity: Frobenius conjugacy class
Target entity description: A Frobenius conjugacy class is the set of all conjugates of a Frobenius element in a Galois group, encapsulating how a prime ideal splits in a given Galois extension.

• A. Furtwängler’s theorem in class field theory
  Furtwängler’s theorem in class field theory is a fundamental result in algebraic number theory that refines the principal ideal theorem by describing how ideal classes capitulate (become principal) in certain abelian extensions of number fields.
• B. Chebotarev density theorem
  The Chebotarev density theorem is a fundamental result in algebraic number theory that generalizes the prime number theorem to describe how often primes in a number field have a given Frobenius conjugacy class in its Galois group.
• C. Algebraic Groups and Class Fields
  "Algebraic Groups and Class Fields" is a influential mathematical monograph that develops the deep connections between algebraic group theory and class field theory within number theory and arithmetic geometry.
• D. orbit-stabilizer theorem
  The orbit-stabilizer theorem is a fundamental result in group theory that relates the size of a group acting on a set to the sizes of the orbit of an element and its stabilizer subgroup.
• E. Deligne–Lusztig theory
  Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
• F. None of above. chosen