Abstract
In this paper NC-groups (i.e. finite groups G, in which for every Sylow p-subgroup P of G, N G(Z(P))=C G(Z(P)) are studied. Mainly the Authors give a way to construct solvable NC-groups with arbitrarely large fitting length and trivial center. Further some results about nonsolvable NC-groups are given.
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Gilotti, A.L., Gross, F. & Tiberio, U. On the fitting length of NC-groups. Geom Dedicata 40, 117–124 (1991). https://doi.org/10.1007/BF00181657
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DOI: https://doi.org/10.1007/BF00181657