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 - <p style="text-align: justify;">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.</p>