Unipotent radical: Difference between revisions
m (1 revision) |
No edit summary |
||
| Line 3: | Line 3: | ||
==Definition== | ==Definition== | ||
The '''unipotent radical''' of an [[algebraic group]] is the unique largest [[normal subgroup|normal]] [[ | The '''unipotent radical''' of an [[algebraic group]] is the unique largest [[normal subgroup|normal]] [[unipotent group|unipotent]] [[connected algebraic group|connected]] [[closed subgroup]]. | ||
==Related notions== | ==Related notions== | ||
Latest revision as of 01:15, 1 January 2012
Definition
The unipotent radical of an algebraic group is the unique largest normal unipotent connected closed subgroup.
Related notions
Related properties of algebraic groups
- Reductive algebraic group is a group whose unipotent radical is trivial
- Unipotent algebraic group is a group that equals its own unipotent radical