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Unramified Brauer groups of finite and infinite groups
Moravec, Primož
Multiplikator Bogomolova je grupno teoretična invarianta, ki je izomorfna nerazvejeni Brauerjevi grupi danega kvocientnega prostora. V članku izpeljemo homološko različico te invariante, dokažemo ...Hopfovo formulo in opišemo njeno vlogo v teoriji centralnih razširitev. Podamo nov opis multiplikatorja Bogomolova za grupe, ki so nilpotentne razreda 2. Poleg tega definiramo multiplikator Bogomolova v kontekstu K-teorije in pokažemo, da je problem trivialnosti te invariante ekvivalenten znanemu odprtemu problemu iz K-teorije, ki ga je zastavil Bass. Na koncu opišemo algoritem za računanje multiplikatorja Bogomolova.
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