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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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In this paper NC-groups (i.e. finite groups G, in which for every Sylow p-subgroup P of G, N~(Z(P)) = CG(Z(P)) are studied. Mainly the Authors give a way to construct solvable NCgroups with arbitrarely large fitting length and trivial center. Further some results about nonsolvable NC-groups are given.