Sylow subgroup

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A Sylow p-subgroup of a finite group G is a maximal p-subgroup of G, i.e., a subgroup of order p^n where p^n divides the order of G and p^{n+1} does not.
gptkbp:field group theory
https://www.w3.org/2000/01/rdf-schema#label Sylow subgroup
gptkbp:introducedIn 19th century
gptkbp:isA subfamily
gptkbp:namedAfter gptkb:Ludvig_Sylow
gptkbp:relatedTo gptkb:Sylow_theorems
gptkb:group_of_people
gptkb:Prime_Number
gptkbp:usedIn classification of finite groups
gptkbp:bfsParent gptkb:group_of_people
gptkbp:bfsLayer 4