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p-groups without noncharacteristic normal subgroups

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Abstract

Let P be a finite p-group, p a prime. We prove that there is a finite p-group Q ≥ P such that every normal subgroup of Q is characteristic in Q.

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Authors and Affiliations

  1. Mathematical Department, Faculty of Science, University of Botswana, Private bag 0022, Gaborone, Botswana

    B. Wilkens

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  1. B. Wilkens
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Correspondence to B. Wilkens.

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Wilkens, B. p-groups without noncharacteristic normal subgroups. Isr. J. Math. 172, 357–369 (2009). https://doi.org/10.1007/s11856-009-0078-x

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  • DOI: https://doi.org/10.1007/s11856-009-0078-x

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