Hall's subgroup theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite solvable groups
gptkbp:describes existence of Hall subgroups in finite solvable groups
gptkbp:field group theory
gptkbp:generalizes gptkb:Sylow_theorems
https://www.w3.org/2000/01/rdf-schema#label Hall's subgroup theorem
gptkbp:namedAfter gptkb:Philip_Hall
gptkbp:publicationYear 1928
gptkbp:publishedIn gptkb:Proceedings_of_the_London_Mathematical_Society
gptkbp:relatedConcept gptkb:Sylow_theorems
Hall subgroup
gptkbp:state for any set of primes π, a finite solvable group has a Hall π-subgroup
all Hall π-subgroups are conjugate
gptkbp:bfsParent gptkb:M._Hall's_theorems
gptkbp:bfsLayer 7