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Annali di Matematica Pura ed Applicata

, Volume 177, Issue 1, pp 349–362 | Cite as

Fusion in profinite groups

  • A. L. Gilotti
  • L. Ribes
  • L. Serena
Article

Abstract

In this paper the concepts of control of transfer and fusion are introduced in the context of profinite groups. It is proved that a powerful Sylow p-subgroup controls transfer and that if the subgroup generated by the torsion elements of a Sylow p-subgroup is uniform, then it controls fusion.

Keywords

Normal Subgroup Finite Group Projective System Central Series Inverse System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1999

Authors and Affiliations

  • A. L. Gilotti
    • 1
  • L. Ribes
    • 2
  • L. Serena
    • 3
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItalia
  2. 2.Department of Mathematics and StatCarleton University 1125OttawaCanada
  3. 3.Istituto di Matematica, Facoltà di ArchitetturaUniversità di FirenzeItalia

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