Sylow theorems

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo prime divisors of group order
gptkbp:concerns finite groups
gptkbp:field group theory
gptkbp:generalizes gptkb:Cauchy's_theorem
https://www.w3.org/2000/01/rdf-schema#label Sylow theorems
gptkbp:implies existence of subgroups of prime power order
gptkbp:namedAfter gptkb:Ludvig_Sylow
gptkbp:publicationYear 1872
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo gptkb:Cauchy's_theorem
gptkb:Lagrange's_theorem
gptkbp:state conjugacy of p-subgroups
existence of p-subgroups
number of p-subgroups divides group order
gptkbp:usedIn classification of finite simple groups
proofs in algebra
gptkbp:bfsParent gptkb:Group_theory
gptkb:Sylow_subgroup
gptkbp:bfsLayer 5