Volume 28, Issue 1
Two Generator Subsystems of Lie Triple System

Commun. Math. Res., 28 (2012), pp. 91-96.

Published online: 2021-05

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• 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.

• Keywords

Lie triple system, two generated subsystem, solvable.

17A40, 17B05

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@Article{CMR-28-91, author = {Jianqiang and Feng and and 18448 and and Jianqiang Feng}, 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} }
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.

Jianqiang Feng. (2021). Two Generator Subsystems of Lie Triple System. Communications in Mathematical Research . 28 (1). 91-96. doi:
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