@Article{CMR-28-91, author = {Feng , Jianqiang}, title = {Two Generator Subsystems of Lie Triple System}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {1}, pages = {91--96}, abstract = {

For a Lie triple system $T$ over a field of characteristic zero, some sufficient conditions for $T$ to be two-generated are proved. We also discuss to what extent the two-generated subsystems determine the structure of the system $T$. One of the main results is that $T$ is solvable if and only if every two elements generates a solvable subsystem. In fact, we give an explicit two-generated law for the two-generated subsystems.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19068.html} }