Golod–Shafarevich theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:pro-p_groups
finitely generated algebras
p-groups
gptkbp:countryOfPublication gptkb:Russian
gptkbp:field gptkb:algebra
group theory
ring theory
https://www.w3.org/2000/01/rdf-schema#label Golod–Shafarevich theorem
gptkbp:namedAfter gptkb:Igor_Shafarevich
gptkb:Evgeny_Golod
gptkbp:publishedIn gptkb:Doklady_Akademii_Nauk_SSSR
gptkbp:sentence Provides a criterion for the infiniteness of certain finitely generated groups and algebras
gptkbp:usedIn class field theory
construction of infinite class field towers
gptkbp:yearProved 1964
gptkbp:bfsParent gptkb:Golod–Shafarevich_group
gptkbp:bfsLayer 6