A finite group is said to be a -group (resp. -group, -group) if normality (resp. permutability, -permutability) is a transitive relation. Ballester-Bolinches et al. gave some new characterizations of the soluble -, - and -groups. A finite group is called a -group (resp. -group, -group) if each cyclic subnormal subgroup is normal (resp. permutable, -permutable) in . The present work defines the -, -, and -groups and presents new characterizations of the wider classes of soluble -, -, and -groups.
DOI :
10.4171/RSMUP/137-5
Classification :
20
Mots-clés : Finite groups, permutability, sylow-permutability, maximal subgroups, supersolubility
Mots-clés : Finite groups, permutability, sylow-permutability, maximal subgroups, supersolubility
Affiliations des auteurs :
Rezaeezadeh, Gholamreza 1 ;
Aghajari, Zahra 1
@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://www.numdam.org/articles/10.4171/RSMUP/137-5/} }
TY - JOUR AU - Rezaeezadeh, Gholamreza AU - Aghajari, Zahra TI - Cyclic non-$S$-permutable subgroups and non-normal maximal subgroups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2017 SP - 93 EP - 100 VL - 137 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/137-5/ DO - 10.4171/RSMUP/137-5 ID - RSMUP_2017__137__93_0 ER -
%0 Journal Article %A Rezaeezadeh, Gholamreza %A Aghajari, Zahra %T Cyclic non-$S$-permutable subgroups and non-normal maximal subgroups %J Rendiconti del Seminario Matematico della Università di Padova %D 2017 %P 93-100 %V 137 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/137-5/ %R 10.4171/RSMUP/137-5 %F RSMUP_2017__137__93_0
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://www.numdam.org/articles/10.4171/RSMUP/137-5/
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