Finite groups in which some particular subgroups are TI-subgroups

Jiangtao Shi, Cui Zhang

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We prove that G is a group in which all noncyclic subgroups are TI-subgroups if and only if all noncyclic subgroups of G are normal in G. Moreover, we classify groups in which all subgroups of even order are TI-subgroups.
Original languageEnglish
JournalMiscolc Mathematical Notes
Issue number3
Pages (from-to)1037-1040
Publication statusPublished - 2013


  • Noncyclic subgroup
  • Normal
  • Subgroup of even order
  • TI-subgroup


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