Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1742

 Title: Kneser and Hereditarily Kneser Subgroups of a Profinite Group Authors: Basarab, Şerban Keywords: Profinite GroupCogalois Group of a Field ExtensionCogalois TheoryContinuous 1-CocycleKneser Group of CocyclesCogalois Group of CocyclesRadical SubgroupHereditarily Radical SubgroupKneser SubgroupAlmost Kneser SubgroupHereditarily Kneser SubgroupSpectral SpaceCoherent Map Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 30, No 2-3, (2004), 325p-348p Abstract: Given a profinite group Γ acting continuously on a discrete quasi-cyclic group A, certain classes of closed subgroups of Γ (radical, hereditarily radical, Kneser, almost Kneser, and hereditarily Kneser) having natural field theoretic interpretations are defined and investigated. One proves that the hereditarily Kneser subgroups of Γ form a closed subspace of the irreducible spectral space of all closed subgroups of Γ, and a hereditarily Kneser criterion for hereditarily radical subgroups is provided. Description: 2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99. URI: http://hdl.handle.net/10525/1742 ISSN: 1310-6600 Appears in Collections: Volume 30 Number 2-3

Files in This Item:

File Description SizeFormat