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.
Fusion in profinite groups / A.L. Gilotti; L. Ribes; L. Serena. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 177:(1999), pp. 349-362. [10.1007/BF02505917]
Fusion in profinite groups
SERENA, LUIGI
1999
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.
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