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. COUNT 4
QSN1 What are examples of finite symmetry groups used in coding theory? ANS1 Mathieu groups QSN2 What is used for error correction of transferred data? ANS2 coding theory QSN3 What describes functions having antiderivatives of a prescribed form? ANS3 differential Galois theory QSN4 What concept investigates geometric elements that stay stable under group action? ANS4 invariant theory