In this paper,a decomposition theorem for permutable orthogroups is used to discussthe structure and classification of permutable orthogroups.we proved that there are 20 classesof permutable orthogroups.We prove that there are 29 permutable bands,and every permutableband is finite with elements does not exceed 13.
On the Strticture and Classification of Permutable Orthogroups. Acta Mathematica Sinica, Chinese Series, 1995, 38(6) https://doi.org/10.12386/A1995sxxb0098