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    • A Note on TI-Subgroups of Finite Groups

      Jiakuan Lu Linna Pang

      Volume 122 Issue 1 February 2012 pp 75-77

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/122/01/0075-0077

    • Keywords

       

      TI-subgroups; Frobenius groups.

    • Abstract

       

      A subgroup 𝐻 of a finite group 𝐺 is called a TI-subgroup if $H\cap H^x=1$ or 𝐻 for any $x\in G$. In this short note, the finite groups all of whose nonabelian subgroups are TI-subgroups are classified.

    • Author Affiliations

       

      Jiakuan Lu1 Linna Pang1

      1. Department of Mathematics, Guangxi Normal University, Guangxi, Guilin 541004, People’s Republic of China

    • Dates

       
      Published
      February 2012
      Manuscript received
      27 November 2010
      Manuscript revised
      29 August 2011

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