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
Pages
8
From page
1126
To page
1133
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
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581226
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