Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:application |
used in the definition of higher algebraic K-groups.
|
| gptkbp:defines |
The Steinberg group is a group associated to a root system and a commutative ring, used in algebraic K-theory.
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics gptkb:algebraic_K-theory group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Steinberg group
|
| gptkbp:introduced |
gptkb:Robert_Steinberg
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:Robert_Steinberg
|
| gptkbp:notation |
gptkb:St_n(R)
St(R) |
| gptkbp:property |
The kernel of the natural map from the Steinberg group to the elementary group is the K2 group.
The Steinberg group is a central extension of the elementary group. |
| gptkbp:relatedTo |
gptkb:Weyl_group
K2 group universal central extension |
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|