Algebraic K-theory of number fields

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:application	regulators in arithmetic geometry special values of L-functions
gptkbp:Borel's_theorem	K_n has rank related to number of real and complex places
gptkbp:field	gptkb:algebraic_K-theory
https://www.w3.org/2000/01/rdf-schema#label	Algebraic K-theory of number fields
gptkbp:K_0	class group of number field
gptkbp:K_1	group of units of number field
gptkbp:K_2	gptkb:Milnor_K-theory
gptkbp:K_n_for_n>1	finitely generated abelian group
gptkbp:notableAchievement	gptkb:Borel's_theorem_on_K-groups_of_number_fields gptkb:Bloch–Kato_conjecture gptkb:Quillen–Lichtenbaum_conjecture
gptkbp:notablePerson	gptkb:Jean-Pierre_Serre gptkb:Stephen_Lichtenbaum gptkb:Max_Borel gptkb:John_Milnor gptkb:Alexander_Beilinson gptkb:Andrei_Suslin gptkb:Spencer_Bloch gptkb:Hyman_Bass gptkb:Daniel_Quillen
gptkbp:relatedTo	gptkb:topology algebraic number theory motivic cohomology
gptkbp:studies	K-groups of number fields K_0, K_1, K_2, ... of number fields
gptkbp:usedIn	gptkb:Iwasawa_theory arithmetic duality theorems study of special values of Dedekind zeta functions
gptkbp:bfsParent	gptkb:Algebraic_K-theory
gptkbp:bfsLayer	6