TY - JOUR T1 - Two Generator Subsystems of Lie Triple System AU - Feng , Jianqiang JO - Communications in Mathematical Research VL - 1 SP - 91 EP - 96 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19068.html KW - Lie triple system, two generated subsystem, solvable. AB -

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.