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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  1. [1]
    J. M. Dixon-M. P. F. Du Sautoy-A.—A. Mann—D. Segal,Analytic pro-p Groups, London Math. Soc. Lectures Notes,157 (1991).Google Scholar
  2. [2]
    A. L. GilottiL. Serena,Strongly closed subgroups and strong fusion, J. London Math. Soc. (2),32 (1985), pp. 103–106.zbMATHMathSciNetGoogle Scholar
  3. [3]
    D. Gorenstein,Finite Groups, Harper & Row (1968).Google Scholar
  4. [4]
    B. Huppert,Endliche Gruppen I, Springer-Verlag (1967).Google Scholar
  5. [5]
    V. P. Platonov,Periodic and Compact Subgroups of Topological Groups, Sibirsk. Math. Z.,7 (1966), pp. 854–877.zbMATHMathSciNetGoogle Scholar
  6. [6]
    A. Shalev,Finite p-Groups, inFinite and Locally Finite Groups,B. Hartley, G. M. Seitz, A. V. Borovik, R. M. Bryant (eds.), Kluwer Academic Publishers (1995).Google Scholar
  7. [7]
    M. Suzuki,Group Theory II, Springer Verlag (1986).Google Scholar
  8. [8]
    T. Yoshida,Character-Theoretic Transfer, J. Algebra,52 (1978), pp. 1–38.zbMATHMathSciNetCrossRefGoogle Scholar

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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