On the intersection of non-normal maximal subgroups of a finite group
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 135-143.
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The subgroup of a group is defined to be the intersection of all non-normal maximal subgroups of (and if all maximal subgroups of G are normal). A group is called a -group if is a -group. Ballester-Bolinches et al. [3] considered the class of -groups and gave several results of such groups. In particular, they showed if is a solvable group, the classes of -groups and -groups (that is, a group in which is a -group) are equal. The present work, we introduce the class of -groups which are defined as the groups for which is an -group and we show several results of the class -groups. Also, we discuss about equivalency the classes of solvable -groups and solvable -groups.
Publié le :
DOI : 10.4171/RSMUP/34
DOI : 10.4171/RSMUP/34
Classification :
20, 00
Mots-clés : Maximal subgroups, $PST$-groups, $SST$-groups
Mots-clés : Maximal subgroups, $PST$-groups, $SST$-groups
Affiliations des auteurs :
Aghajari, Zahra 1 ;
Rezaeezadeh, Gholamreza 1
@article{RSMUP_2019__142__135_0, author = {Aghajari, Zahra and Rezaeezadeh, Gholamreza}, title = {On the intersection of non-normal maximal subgroups of a finite group}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {135--143}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {142}, year = {2019}, doi = {10.4171/RSMUP/34}, mrnumber = {4032808}, zbl = {1445.20011}, url = {http://www.numdam.org/articles/10.4171/RSMUP/34/} }
TY - JOUR AU - Aghajari, Zahra AU - Rezaeezadeh, Gholamreza TI - On the intersection of non-normal maximal subgroups of a finite group JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 135 EP - 143 VL - 142 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/34/ DO - 10.4171/RSMUP/34 ID - RSMUP_2019__142__135_0 ER -
%0 Journal Article %A Aghajari, Zahra %A Rezaeezadeh, Gholamreza %T On the intersection of non-normal maximal subgroups of a finite group %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 135-143 %V 142 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/34/ %R 10.4171/RSMUP/34 %F RSMUP_2019__142__135_0
Aghajari, Zahra; Rezaeezadeh, Gholamreza. On the intersection of non-normal maximal subgroups of a finite group. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 135-143. doi : 10.4171/RSMUP/34. http://www.numdam.org/articles/10.4171/RSMUP/34/
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