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On the fitting length of NC-groups

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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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References

  1. Gilotti, A. and Tiberio, U., ‘On the NC-groups’, Ricerche di Matematica Vol. XXXIX (1990), 71–79.

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  3. Gross, F., ‘Automorphisms which centralize a Sylow p-subgroup’, J. Algebra 77 (1982), 202–233.

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Authors and Affiliations

  1. Istituto di Matematica, Università di Salerno, I-84081, Baronissi-Salerno, Italy

    Anna Luisa Gilotti

  2. Department of Mathematics, University of Utah, 84112, Salt Lake City, Utah, USA

    Fletcher Gross

  3. Dipartimento di Matematica Applicata G. Sansone, Via S. Marta 3, I-50139, Firenze, Italy

    Umberto Tiberio

Authors
  1. Anna Luisa Gilotti
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  2. Fletcher Gross
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  3. Umberto Tiberio
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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

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