Title of article :
Direct limit groups do not have small subgroups
Author/Authors :
Glِckner، نويسنده , , Helge، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2007
Abstract :
We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups.
Keywords :
Small subgroup , Torsion subgroup , Infinite-dimensional Lie group , direct limit , inductive limit , Direct limit group
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
