Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup.

DOI10.1007/S00013-013-0545-9zbMath1277.20021OpenAlexW2039987916MaRDI QIDQ368494

Jiangtao Shi, Cui Zhang

Publication date: 23 September 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0545-9

zbMATH Keywords

finite groupsFrobenius groupsnilpotent groupssubnormal subgroupsTI-subgroupsSTI-groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (6)

The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups ⋮ A note on self-centralizing subgroups and general subgroups of finite groups being a TI-subgroup or subnormal ⋮ Finite groups whose non-σ-subnormal subgroups are TI-subgroups ⋮ Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup ⋮ Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups ⋮ Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup

Cites Work

• Finite groups whose Abelian subgroups are TI-subgroups.
• Trivial intersection groups
• ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP
• A Note on TI-Subgroups of a Finite Group
• FINITE GROUPS IN WHICH ALL NONABELIAN SUBGROUPS ARE TI-SUBGROUPS

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