Automorphism Groups of Block-finite Orthomodular Lattices
Yinlan Chen · 2009
In this paper,the automorphism groups of products of lattices and the products of the automorphism groups of lattices have been discussed,then the structures of automorphism groups of block-finite orthomodular lattices are given.By the properties of automorphisms,the generator sets of these important irreducible orthomodular lattices are got.For any non-irreducible block-finite orthomodular lattice,its automorphism group can be obtained by its decomposition of direct products and products of the automorphism groups.