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On the intersection of nilpotent Hall \(\pi \)-subgroups

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Abstract

In this paper, we study theorems related to Sylow intersections and we strengthen a result of Robinson (Proc Am Math Soc 90(1):21–24,1984) and also a result of Brewster and Hauck (J Algebra 206:261–292, 1998).

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Acknowledgements

The authors would like to thank the reviewers for good suggestions and corrections. This work was partially supported by NSFC (Grant Nos. 11671238 and 11671063), the Natural Science Foundation of CSTC (cstc2018jcyjAX0060), and a grant from the Simons Foundation (No 499532, to Y. Yang). The collaborative travel was also funded by the American Mathematical Society’s Ky and Yu-Fen Fan Travel Grant Program.

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Authors and Affiliations

  1. Department of Mathematics, Shangxi University, Taiyuan, 030006, People’s Republic of China

    Ping Jin

  2. Key Laboratory of Group and Graph Theories and Applications, Chongqing University of Arts and Sciences, Chongqing, China

    Yong Yang

  3. Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX,  78666, USA

    Yong Yang

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  1. Ping Jin
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  2. Yong Yang
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Correspondence to Yong Yang.

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Jin, P., Yang, Y. On the intersection of nilpotent Hall \(\pi \)-subgroups. Arch. Math. 114, 123–127 (2020). https://doi.org/10.1007/s00013-019-01391-w

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  • DOI: https://doi.org/10.1007/s00013-019-01391-w

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