Context: Finite symmetry groups such as the Mathieu groups are used in coding theory, which is in turn applied in error correction of transmitted data, and in CD players. Another application is differential Galois theory, which characterizes functions having antiderivatives of a prescribed form, giving group-theoretic criteria for when solutions of certain differential equations are well-behaved.u[›] Geometric properties that remain stable under group actions are investigated in (geometric) invariant theory.

Question: What are examples of finite symmetry groups used in coding theory?
Answer: Mathieu groups

Question: What is used for error correction of transferred data?
Answer: coding theory

Question: What describes functions having antiderivatives of a prescribed form?
Answer: differential Galois theory

Question: What concept investigates geometric elements that stay stable under group action?
Answer: invariant theory

Question: What theory is error correction applied to?
Answer: Unanswerable

Question: Which form of finite symmetry groups are useless in coding theory?
Answer: Unanswerable

Question: Mathieu groups have what kind of prescribed form?
Answer: Unanswerable

Question: What stable properties does the Galois theory study?
Answer: Unanswerable

Question: Geometric Invariant theory studies what kind of equations?
Answer: Unanswerable