Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
unsolved problems in mathematics
group theory problems |
| gptkbp:field |
group theory
|
| gptkbp:formedBy |
1902
|
| gptkbp:hasVariant |
gptkb:bounded_Burnside_problem
gptkb:general_Burnside_problem gptkb:restricted_Burnside_problem |
| https://www.w3.org/2000/01/rdf-schema#label |
Burnside problem
|
| gptkbp:namedAfter |
gptkb:William_Burnside
|
| gptkbp:notableAchievement |
Restricted Burnside problem solved positively by Zelmanov
Existence of infinite finitely generated groups of bounded exponent for large exponents |
| gptkbp:relatedTo |
infinite groups
periodic groups |
| gptkbp:solvedBy |
gptkb:Igor_Shafarevich
gptkb:Efim_Zelmanov gptkb:Pavel_Novikov gptkb:Sergei_Adian gptkb:Evgeny_Golod |
| gptkbp:status |
partially solved
|
| gptkbp:type |
Is a finitely generated group of bounded exponent necessarily finite?
|
| gptkbp:bfsParent |
gptkb:William_Burnside
gptkb:Grigorchuk_group |
| gptkbp:bfsLayer |
6
|