A simultaneous representation of a group and a bounded poset with lattice automorphisms and principal congruences

Abstract

Given a poset $P$ with at least two elements and a group $G$, there exists a selfdual lattice of length 16 such that the collection of its principal congruences is order isomorphic to $P$ while its automorphism group to $G$.

8 pages, 4 figures

References in corpus (1)

• Homomorphisms and principal congruences of bounded lattices