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Groupes profinis presqu'amalgamés.

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Title: Groupes profinis presqu'amalgamés.
Authors: Sarr, Ndeye Coumba1 (AUTHOR) coumbasarr2006@gmail.com
Source: Journal of Number Theory. Feb2026, Vol. 279, p56-77. 22p.
Subjects: Profinite groups, Group theory, Group actions (Mathematics), Mathematics
Abstract: Un des résultats fondamentaux de la théorie de Bass-Serre est le théorème suivant : un groupe est amalgamé si et seulement s'il agit sur un arbre avec comme domaine fondamental un segment. Dans cet article nous donnons un analogue pour les groupes profinis de ce résultat en utilisant la théorie des prographes de Deschamps et Suarez introduite dans [DSA11]. A fundamental result of Bass-Serre theory is the following theorem: an abstract group is a free product with amalgamation if and only if it acts on a tree with a segment as fundamental domain. In this article, an analogous result for profinite groups will be given, using the theory of prographs of Deschamps and Suarez introduced in [DSA11]. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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  Data: Groupes profinis presqu'amalgamés.
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  Data: <searchLink fieldCode="AR" term="%22Sarr%2C+Ndeye+Coumba%22">Sarr, Ndeye Coumba</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> coumbasarr2006@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Feb2026, Vol. 279, p56-77. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Profinite+groups%22">Profinite groups</searchLink><br /><searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br /><searchLink fieldCode="DE" term="%22Group+actions+%28Mathematics%29%22">Group actions (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink>
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  Label: Abstract
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  Data: Un des résultats fondamentaux de la théorie de Bass-Serre est le théorème suivant : un groupe est amalgamé si et seulement s'il agit sur un arbre avec comme domaine fondamental un segment. Dans cet article nous donnons un analogue pour les groupes profinis de ce résultat en utilisant la théorie des prographes de Deschamps et Suarez introduite dans [DSA11]. A fundamental result of Bass-Serre theory is the following theorem: an abstract group is a free product with amalgamation if and only if it acts on a tree with a segment as fundamental domain. In this article, an analogous result for profinite groups will be given, using the theory of prographs of Deschamps and Suarez introduced in [DSA11]. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jnt.2025.03.015
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 56
    Subjects:
      – SubjectFull: Profinite groups
        Type: general
      – SubjectFull: Group theory
        Type: general
      – SubjectFull: Group actions (Mathematics)
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      – SubjectFull: Mathematics
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      – TitleFull: Groupes profinis presqu'amalgamés.
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              Text: Feb2026
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              Y: 2026
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