Geodesic
Kneser and Hereditarily Kneser Subgroups of a Profinite Group
Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 325-348

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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.
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 
Basarab, Şerban. Kneser and Hereditarily Kneser Subgroups of a Profinite Group. Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 325-348. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a11/
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     author = {Basarab, \c{S}erban},
     title = {Kneser and {Hereditarily} {Kneser} {Subgroups} of a {Profinite} {Group}},
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