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Groups with maximal subgroups of Sylow subgroups normal

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Abstract

This paper characterizes those finite groups with the property that maximal subgroups of Sylow subgroups are normal. They are all certain extensions of nilpotent groups by cyclic groups.

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References

  1. W. R. Scott,Group Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1964.

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  2. S. Srinivasan,Two sufficient conditions for supersolvability of finite groups, Isr. J. Math.35 (1980), 210–214.

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Authors and Affiliations

  1. Department of Mathematics, The University of Southern Mississippi, 39401, Hattiesburg, MS, USA

    Gary L. Walls

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  1. Gary L. Walls
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Walls, G.L. Groups with maximal subgroups of Sylow subgroups normal. Israel J. Math. 43, 166–168 (1982). https://doi.org/10.1007/BF02761728

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  • DOI: https://doi.org/10.1007/BF02761728

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