BourbakiV1, Main, Exploration, bibRecord, 000A95

The true prosoluble completion of a group: Examples and open problems

Identifieur interne : 000A95 ( Main/Exploration ); précédent : 000A94; suivant : 000A96

The true prosoluble completion of a group: Examples and open problems

Auteurs : Goulnara Arzhantseva [Suisse] ; Pierre De La Harpe [Suisse] ; Delaram Kahrobaei [États-Unis] ; Zoran Šuni [États-Unis]

Source :

Geometriae Dedicata [ 0046-5755 ] ; 2007-02-01.

RBID : ISTEX:42902F41A52C53E51EFF4B96C1E828A7C0AE8A4B

English descriptors

KwdEn :
- Grigorchuk group, Open problems, Profinite completion, Residual properties, Soluble group, True prosoluble completion.

Abstract

Abstract: The true prosoluble completion $$P\mathcal S (\Gamma)$$ of a group Γ is the inverse limit of the projective system of soluble quotients of Γ. Our purpose is to describe examples and to point out some natural open problems. We discuss a question of Grothendieck for profinite completions and its analogue for true prosoluble and true pronilpotent completions.

Url:

https://api.istex.fr/document/42902F41A52C53E51EFF4B96C1E828A7C0AE8A4B/fulltext/pdf

DOI: 10.1007/s10711-006-9103-y

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Istex, to step Corpus: 000D56
to stream Istex, to step Curation: 000D56
to stream Istex, to step Checkpoint: 000A35
to stream Main, to step Merge: 000B04
to stream Main, to step Curation: 000A95

Le document en format XML

<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">The true prosoluble completion of a group: Examples and open problems</title>
<author><name sortKey="Arzhantseva, Goulnara" sort="Arzhantseva, Goulnara" uniqKey="Arzhantseva G" first="Goulnara" last="Arzhantseva">Goulnara Arzhantseva</name>
</author>
<author><name sortKey="De La Harpe, Pierre" sort="De La Harpe, Pierre" uniqKey="De La Harpe P" first="Pierre" last="De La Harpe">Pierre De La Harpe</name>
</author>
<author><name sortKey="Kahrobaei, Delaram" sort="Kahrobaei, Delaram" uniqKey="Kahrobaei D" first="Delaram" last="Kahrobaei">Delaram Kahrobaei</name>
</author>
<author><name sortKey="Suni, Zoran" sort="Suni, Zoran" uniqKey="Suni Z" first="Zoran" last="Šuni">Zoran Šuni</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:42902F41A52C53E51EFF4B96C1E828A7C0AE8A4B</idno>
<date when="2006" year="2006">2006</date>
<idno type="doi">10.1007/s10711-006-9103-y</idno>
<idno type="url">https://api.istex.fr/document/42902F41A52C53E51EFF4B96C1E828A7C0AE8A4B/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000D56</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000D56</idno>
<idno type="wicri:Area/Istex/Curation">000D56</idno>
<idno type="wicri:Area/Istex/Checkpoint">000A35</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000A35</idno>
<idno type="wicri:doubleKey">0046-5755:2006:Arzhantseva G:the:true:prosoluble</idno>
<idno type="wicri:Area/Main/Merge">000B04</idno>
<idno type="wicri:Area/Main/Curation">000A95</idno>
<idno type="wicri:Area/Main/Exploration">000A95</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">The true prosoluble completion of a group: Examples and open problems</title>
<author><name sortKey="Arzhantseva, Goulnara" sort="Arzhantseva, Goulnara" uniqKey="Arzhantseva G" first="Goulnara" last="Arzhantseva">Goulnara Arzhantseva</name>
<affiliation wicri:level="4"><country xml:lang="fr">Suisse</country>
<wicri:regionArea>Section de Mathématiques, Université de Genève, C.P. 64, CH-1211, Geneva</wicri:regionArea>
<orgName type="university">Université de Genève</orgName>
<placeName><settlement type="city">Genève</settlement>
<region nuts="3" type="region">Canton de Genève</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Suisse</country>
</affiliation>
</author>
<author><name sortKey="De La Harpe, Pierre" sort="De La Harpe, Pierre" uniqKey="De La Harpe P" first="Pierre" last="De La Harpe">Pierre De La Harpe</name>
<affiliation wicri:level="4"><country xml:lang="fr">Suisse</country>
<wicri:regionArea>Section de Mathématiques, Université de Genève, C.P. 64, CH-1211, Geneva</wicri:regionArea>
<orgName type="university">Université de Genève</orgName>
<placeName><settlement type="city">Genève</settlement>
<region nuts="3" type="region">Canton de Genève</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Suisse</country>
</affiliation>
</author>
<author><name sortKey="Kahrobaei, Delaram" sort="Kahrobaei, Delaram" uniqKey="Kahrobaei D" first="Delaram" last="Kahrobaei">Delaram Kahrobaei</name>
<affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Mathematics Department (Namm 724), New York City College of Technology (CUNY), 300 Jay Street, 11201, Brooklyn, NY</wicri:regionArea>
<placeName><region type="state">État de New York</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Suni, Zoran" sort="Suni, Zoran" uniqKey="Suni Z" first="Zoran" last="Šuni">Zoran Šuni</name>
<affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Department of Mathematics, Texas A&M University, 77843-3368, College Station, TX</wicri:regionArea>
<placeName><region type="state">Texas</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Geometriae Dedicata</title>
<title level="j" type="abbrev">Geom Dedicata</title>
<idno type="ISSN">0046-5755</idno>
<idno type="eISSN">1572-9168</idno>
<imprint><publisher>Kluwer Academic Publishers</publisher>
<pubPlace>Dordrecht</pubPlace>
<date type="published" when="2007-02-01">2007-02-01</date>
<biblScope unit="volume">124</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="5">5</biblScope>
<biblScope unit="page" to="26">26</biblScope>
</imprint>
<idno type="ISSN">0046-5755</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0046-5755</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Grigorchuk group</term>
<term>Open problems</term>
<term>Profinite completion</term>
<term>Residual properties</term>
<term>Soluble group</term>
<term>True prosoluble completion</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: The true prosoluble completion $$P\mathcal S (\Gamma)$$ of a group Γ is the inverse limit of the projective system of soluble quotients of Γ. Our purpose is to describe examples and to point out some natural open problems. We discuss a question of Grothendieck for profinite completions and its analogue for true prosoluble and true pronilpotent completions.</div>
</front>
</TEI>
<affiliations><list><country><li>Suisse</li>
<li>États-Unis</li>
</country>
<region><li>Canton de Genève</li>
<li>Texas</li>
<li>État de New York</li>
</region>
<settlement><li>Genève</li>
</settlement>
<orgName><li>Université de Genève</li>
</orgName>
</list>
<tree><country name="Suisse"><region name="Canton de Genève"><name sortKey="Arzhantseva, Goulnara" sort="Arzhantseva, Goulnara" uniqKey="Arzhantseva G" first="Goulnara" last="Arzhantseva">Goulnara Arzhantseva</name>
</region>
<name sortKey="Arzhantseva, Goulnara" sort="Arzhantseva, Goulnara" uniqKey="Arzhantseva G" first="Goulnara" last="Arzhantseva">Goulnara Arzhantseva</name>
<name sortKey="De La Harpe, Pierre" sort="De La Harpe, Pierre" uniqKey="De La Harpe P" first="Pierre" last="De La Harpe">Pierre De La Harpe</name>
<name sortKey="De La Harpe, Pierre" sort="De La Harpe, Pierre" uniqKey="De La Harpe P" first="Pierre" last="De La Harpe">Pierre De La Harpe</name>
</country>
<country name="États-Unis"><region name="État de New York"><name sortKey="Kahrobaei, Delaram" sort="Kahrobaei, Delaram" uniqKey="Kahrobaei D" first="Delaram" last="Kahrobaei">Delaram Kahrobaei</name>
</region>
<name sortKey="Kahrobaei, Delaram" sort="Kahrobaei, Delaram" uniqKey="Kahrobaei D" first="Delaram" last="Kahrobaei">Delaram Kahrobaei</name>
<name sortKey="Suni, Zoran" sort="Suni, Zoran" uniqKey="Suni Z" first="Zoran" last="Šuni">Zoran Šuni</name>
<name sortKey="Suni, Zoran" sort="Suni, Zoran" uniqKey="Suni Z" first="Zoran" last="Šuni">Zoran Šuni</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000A95 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000A95 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:42902F41A52C53E51EFF4B96C1E828A7C0AE8A4B
   |texte=   The true prosoluble completion of a group: Examples and open problems
}}

This area was generated with Dilib version V0.6.33.
Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022

	Serveur d'exploration Bourbaki
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration Bourbaki

The true prosoluble completion of a group: Examples and open problems

The true prosoluble completion of a group: Examples and open problems

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri