Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
inverse limit of finite p-groups
|
| gptkbp:example |
Z_p (p-adic integers)
free pro-p group |
| gptkbp:field |
gptkb:algebra
group theory |
| gptkbp:hasProperty |
every continuous homomorphism to a finite group factors through a finite p-group
every open subgroup has index a power of p |
| https://www.w3.org/2000/01/rdf-schema#label |
pro-p groups
|
| gptkbp:property |
gptkb:topology
gptkb:Hausdorff compact profinite group totally disconnected |
| gptkbp:relatedTo |
gptkb:Galois_groups
p-adic analytic groups |
| gptkbp:studiedBy |
gptkb:Jean-Pierre_Serre
gptkb:John_G._Thompson |
| gptkbp:used_in |
gptkb:algebraic_geometry
gptkb:Galois_cohomology number theory |
| gptkbp:bfsParent |
gptkb:Golod–Shafarevich_group
|
| gptkbp:bfsLayer |
6
|