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


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.


Normal Subgroup Finite Group Projective System Central Series Inverse System 


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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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