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On finite p-nilpotent groups

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Abstract

In this paper the structure of a minimal counterexample among the non-p-nilpotent groups having p-nilpotent p-Sylow normalisers is analysed. Several p-nilpotency criteria and many earlier results follow from our main theorem.

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Acknowledgments

The first author has been supported by Project NSFC (No. 11271085) and by the Grant MTM2014-54707-C3-1-P from the Ministerio de Economía y Competitividad of Spain. The second author has been supported by Project NSFC (No. 11371237). The research of the third author have been supported by projects NSF of Guangdong (S2011010004447) and Special Project for the Subject Build of High Education of Guandong Province (2012KJCX0081), and NSFC (No. 11271085). The fourth author have been supported by the project NSFC (No. 11401597).

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Authors and Affiliations

  1. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, China

    Adolfo Ballester-Bolinches & Yangming Li

  2. Departament d’Àlgebra, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, Valencia, Spain

    Adolfo Ballester-Bolinches

  3. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Xiuyun Guo

  4. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China

    Ning Su

Authors
  1. Adolfo Ballester-Bolinches
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  2. Xiuyun Guo
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  3. Yangming Li
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  4. Ning Su
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Corresponding author

Correspondence to Adolfo Ballester-Bolinches.

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Communicated by J. S. Wilson.

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Ballester-Bolinches, A., Guo, X., Li, Y. et al. On finite p-nilpotent groups. Monatsh Math 181, 63–70 (2016). https://doi.org/10.1007/s00605-015-0803-y

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  • DOI: https://doi.org/10.1007/s00605-015-0803-y

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