On the independence theorem of related structures for modular (arguesian) lattices
George Grätzer, E. T. Schmidt · Studia Scientiarum Mathematicarum Hungarica · 2003
LetDbe a finite distributive lattice with more than one element and letGbe a finite group. We prove that there exists a modular (arguesian) lattice M such that the congruence lattice ofMis isomorphic toDand the automorphism group ofMis isomorphic toG.