# Kneser and Hereditarily Kneser Subgroups of a Profinite Group

Serdica Mathematical Journal (2004)

- Volume: 30, Issue: 2-3, page 325-348
- ISSN: 1310-6600

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topBasarab, 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 -

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