L-群的一个非直字典式扩张

A Non-direct Lexico-extension of an L group

讨论了Ｌ－群的一个非阿贝尔字典扩张，证得它是非直的。并且导出一个结论：如果Ｌ－群Ｇ是非阿贝尔的，虽然仅含有限个Ｌ－理想。

This paper discusses non lexico extensions of L groups and gives an example of a non abelian lexico extension of an L group,which is not direct but includes a finite number of L ideds,which may contain infinite disjoint elements.