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Finite NPDM-groups

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Abstract

In this paper the classification is given for finite groups in which the normalizer of every non-normal cyclic subgroup of order divided by the minimal prime of |G| is a maximal subgroup.

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Acknowledgements

The authors would like to thank the referee for his/her valuable suggestions and useful comments contributed to the final version of this paper.

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Authors and Affiliations

  1. School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, 030006, P. R. China

    Jian Ji Cao

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

    Xiu Yun Guo

Authors
  1. Jian Ji Cao
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  2. Xiu Yun Guo
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Corresponding author

Correspondence to Xiu Yun Guo.

Additional information

Supported by the Doctoral Scientific Research Foundation of Shanxi University of Finance and Economics (Grant No. Z18207), the National Natural Science Foundation of China (Grant Nos. 11771271, 11801334) and the China Scholarship Council Foundation (Grant No. 201908140049)

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Cao, J.J., Guo, X.Y. Finite NPDM-groups. Acta. Math. Sin.-English Ser. 37, 306–314 (2021). https://doi.org/10.1007/s10114-021-8047-3

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  • DOI: https://doi.org/10.1007/s10114-021-8047-3

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