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Title: Kneser and Hereditarily Kneser Subgroups of a Profinite Group
Authors: Basarab, Şerban
Keywords: Profinite Group
Cogalois Group of a Field Extension
Cogalois Theory
Continuous 1-Cocycle
Kneser Group of Cocycles
Cogalois Group of Cocycles
Radical Subgroup
Hereditarily Radical Subgroup
Kneser Subgroup
Almost Kneser Subgroup
Hereditarily Kneser Subgroup
Spectral Space
Coherent 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.
ISSN: 1310-6600
Appears in Collections:Volume 30 Number 2-3

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