Finite groups in which some particular subgroups are TI-subgroups

Jiangtao Shi, Cui Zhang

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Abstract

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
Volume14
Issue number3
Pages (from-to)1037-1040
ISSN1787-2405
Publication statusPublished - 2013

Keywords

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

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