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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/130/0051

    • Keywords

       

      $p$-Soluble; $p$-length; mutually permutable product; Wielandt length.

    • Abstract

       

      Suppose that the finite group $G = AB$ is a mutually permutable product of two $p$-soluble subgroups $A$ and $B$. By using the Wielandt lengths of Sylow $p$-subgroups of $A$ and $B$, we present a new bound of the $p$-length of $G$. Some known results are improved.

    • Author Affiliations

       

      HUILONG GU1 JIAO LI1 HUAQUAN WEI1 LIYING YANG2

      1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
      2. School of Mathematics and Statistics, Nanning Normal University, Nanning 530299, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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