Kneser and Hereditarily Kneser Subgroups of a Profinite Group

Basarab, Şerban. "Kneser and Hereditarily Kneser Subgroups of a Profinite Group." Serdica Mathematical Journal 30.2-3 (2004): 325-348. <http://eudml.org/doc/219611>.

@article{Basarab2004,
abstract = {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.},
author = {Basarab, Şerban},
journal = {Serdica Mathematical Journal},
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; co-Galois theory; finite radical field extensions; profinite groups; closed subgroups; hereditarily Kneser subgroups; hereditarily radical subgroups},
language = {eng},
number = {2-3},
pages = {325-348},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Kneser and Hereditarily Kneser Subgroups of a Profinite Group},
url = {http://eudml.org/doc/219611},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Basarab, Şerban
TI - Kneser and Hereditarily Kneser Subgroups of a Profinite Group
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 325
EP - 348
AB - 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.
LA - eng
KW - 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; co-Galois theory; finite radical field extensions; profinite groups; closed subgroups; hereditarily Kneser subgroups; hereditarily radical subgroups
UR - http://eudml.org/doc/219611
ER -