Two Generator Subsystems of Lie Triple System

Two Generator Subsystems of Lie Triple System

Year:    2012

Author:    Jianqiang Feng

Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-CMR-19068

Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 91–96

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Lie triple system two generated subsystem solvable.

Author Details

Jianqiang Feng