Invariance groups of functions and related Galois connections
Eszter K. Horváth, Reinhard Pöschel, Sven Reichard · Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry · 2020
Abstract Invariance groups of sets of Boolean functions can be characterized as Galois closures of a suitable Galois connection. We consider such groups in a much more general context using group actions of an abstract group and arbitrary functions instead of Boolean ones. We characterize the Galois closures for both sides of the corresponding Galois connection and apply the results to known group actions.