On the fitting length of NC-groups

Geometriae Dedicata - Tập 40 - Trang 117-124 - 1991
Anna Luisa Gilotti1, Fletcher Gross2, Umberto Tiberio3
1Istituto di Matematica, Università di Salerno, Baronissi-Salerno, Italy
2Department of Mathematics, University of Utah, Salt Lake City, USA
3Dipartimento di Matematica Applicata “G. Sansone”, Firenze, Italy

Tóm tắt

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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