自由正交模格F_(MO_k)(n)的自同构群

AUTOMORPHISM GROUPS OF FREE ORTHOMODULAR LATTICE F_(MO_k)(n)

文章先利用自同构映射保有限并的性质研究了一般正交模格的次直积的自同构群与自同构群的次直积的关系,再用块置换的方法研究了MOk的自同构群的生成元集,由此得到自由正交模格FMOk(n)的自同构群的直积分解式,从而完全解决了FMOk(n)的自同构群的结构问题.

In this paper, the automorphism groups of products of general orthomodular lattices and the products of the automorphism groups of general orthomodular lattices are been discussed by the property that automorphic mappings preserve join operation. The generatorset of automorphism groups of orthomodular lattices MOk are given by block permutation method, Then the direct product decomposition expression of Aut FMOK（n） are obtained, thus the problem of the structures of Aut FMOk（n） is solved completely.