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Research Article

The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups

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Pages 2605-2610 | Received 11 Aug 2022, Published online: 06 Mar 2023

References

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  • Jiangtao Shi, Finite groups in which all subgroups of non-prime-power order are TI-subgroups, Indagationes Mathematicae 29 (2018), 1210–1213. doi: 10.1016/j.indag.2018.05.003
  • Jiangtao Shi, Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup, Journal of Algebra and Its Applications 18(8) (2019), 1950159. doi: 10.1142/S0219498819501597
  • Jiangtao Shi and Na Li, Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup, Czechoslovak Mathematical Journal 71(146) (2021), 1229–1233. doi: 10.21136/CMJ.2021.0512-20
  • Jiangtao Shi and Cui Zhang, Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup, Archiv der Mathematik 101(2) (2013), 101–104. doi: 10.1007/s00013-013-0545-9
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  • Yuqing Sun, Jiakuan Lu, and Wei Meng, Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups, Journal of Algebra and Its Applications 20(03) (2021), 2150040. doi: 10.1142/S0219498821500407
  • G. Walls, Trivial intersection groups, Archiv der Mathematik 32 (1979), 1–4. doi: 10.1007/BF01238459

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