THREE-DIMENSIONAL LOOPS AS SECTIONS IN A FOUR-DIMENSIONAL SOLVABLE LIE GROUP

被引：0
|
作者：
Figula, A. [1 ]
机构：
[1] Univ Debrecen, Inst Math, POB 12, H-4010 Debrecen, Hungary
来源：
ISCHIA GROUP THEORY 2010 | 2012年
基金：
匈牙利科学研究基金会;
关键词：
topological loops; sharply transitive sections in groups; multiplication group of loops; solvable Lie groups; CONNECTED TRANSVERSALS; MULTIPLICATION GROUPS; SUBGROUPS; ALGEBRAS; PRODUCT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify all three-dimensional connected topological loops such that the group topologically generated by their left translations is the four-dimensional connected Lie group G which has trivial center and precisely two onedimensional normal subgroups. We show that G is not the multiplication group of connected topological proper loops.
引用
收藏
页码：146 / 158
页数：13
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