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 
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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/