Cyclic non-S-permutable subgroups and non-normal maximal subgroups
Rezaeezadeh, Gholamreza1 ; Aghajari, Zahra1
1 Shahrekord University, SHAHREKORD, IRAN
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 93-100.

A finite group G is said to be a T-group (resp. PT-group, PST-group) if normality (resp. permutability, S-permutability) is a transitive relation. Ballester-Bolinches et al. gave some new characterizations of the soluble T-, PT- and PST-groups. A finite group G is called a T c -group (resp. PT c -group, PST c -group) if each cyclic subnormal subgroup is normal (resp. permutable, S-permutable) in G. The present work defines the NNM c -, PNM c -, and SNM c -groups and presents new characterizations of the wider classes of soluble T c -, PT c -, and PST c -groups.

DOI : 10.4171/RSMUP/137-5
Classification : 20
Mots clés : Finite groups, permutability, sylow-permutability, maximal subgroups, supersolubility
Rezaeezadeh, Gholamreza 1 ; Aghajari, Zahra 1

1 Shahrekord University, SHAHREKORD, IRAN 
@article{RSMUP_2017__137__93_0,
     author = {Rezaeezadeh, Gholamreza and Aghajari, Zahra},
     title = {Cyclic non-$S$-permutable subgroups and non-normal maximal subgroups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {93--100},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-5},
     mrnumber = {3652870},
     zbl = {1365.20015},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/137-5/}
}
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Rezaeezadeh, Gholamreza; Aghajari, Zahra. Cyclic non-$S$-permutable subgroups and non-normal maximal subgroups. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 93-100. doi : 10.4171/RSMUP/137-5. http://archive.numdam.org/articles/10.4171/RSMUP/137-5/

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