Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
linear groups
|
| gptkbp:field |
gptkb:algebra
group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Selberg's lemma
|
| gptkbp:implies |
finitely generated linear groups over characteristic 0 fields are virtually torsion-free
|
| gptkbp:namedAfter |
gptkb:Atle_Selberg
|
| gptkbp:sentence |
Every finitely generated subgroup of GL(n, K) over a field K of characteristic 0 has a torsion-free subgroup of finite index.
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:topology arithmetic groups |
| gptkbp:yearProved |
1947
|
| gptkbp:bfsParent |
gptkb:Arne_Selberg
|
| gptkbp:bfsLayer |
6
|