Finite groups whose non-\(\sigma\)-subnormal subgroups are TI-subgroups. (English) Zbl 1523.20028
Authors’ abstract: In this paper, for every partition \(\sigma\) of the set of all primes, we obtain a complete classification of finite groups in which every subgroup is a \(\sigma\)-subnormal subgroup or a TI-subgroup.
Reviewer: Enrico Jabara (Venezia)
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20D35 | Subnormal subgroups of abstract finite groups |
| 20D25 | Special subgroups (Frattini, Fitting, etc.) |
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