Kneser and Hereditarily Kneser Subgroups of a Profinite Group
| Data(s) |
18/06/2012
18/06/2012
2004
|
|---|---|
| Resumo |
2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99. 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. |
| Identificador |
Serdica Mathematical Journal, Vol. 30, No 2-3, (2004), 325p-348p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #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 |
| Tipo |
Article |
