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.
