Finite Groups All of Whose Subgroups are P-Subnormal or TI-Subgroups

Let P be the set of all prime numbers. A subgroup H of a finite group G is said to be P - subnormal in G if there exists a chain of subgroups H = H 0 ⊆ H 1 ⊆ ⋯ ⊆ H n - 1 ⊆ H n = G such that either H i - 1 is normal in H i or | H i : H i - 1 | is a prime number for every i = 1 , 2 , … , n . A subgrou...

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Veröffentlicht in:	Mediterranean journal of mathematics 2024-03, Vol.21 (2)
Hauptverfasser:	Ballester-Bolinches, A., Kamornikov, S. F., Pérez-Calabuig, V., Yi, X.
Format:	Artikel
Sprache:	eng
Schlagworte:	Group theory Mathematics Mathematics and Statistics Prime numbers Subgroups
Online-Zugang:	Volltext
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