Finite groups whose all proper subgroups are $𝒞$-groups

@article{Guo2018,
abstract = {A group $G$ is said to be a $\mathcal \{C\}$-group if for every divisor $d$ of the order of $G$, there exists a subgroup $H$ of $G$ of order $d$ such that $H$ is normal or abnormal in $G$. We give a complete classification of those groups which are not $\mathcal \{C\}$-groups but all of whose proper subgroups are $\mathcal \{C\}$-groups.},
author = {Guo, Pengfei, Liu, Jianjun},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal subgroup; abnormal subgroup; minimal non-$\mathcal \{C\}$-group},
language = {eng},
number = {2},
pages = {513-522},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite groups whose all proper subgroups are $\mathcal \{C\}$-groups},
url = {http://eudml.org/doc/294719},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Guo, Pengfei
AU - Liu, Jianjun
TI - Finite groups whose all proper subgroups are $\mathcal {C}$-groups
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 513
EP - 522
AB - A group $G$ is said to be a $\mathcal {C}$-group if for every divisor $d$ of the order of $G$, there exists a subgroup $H$ of $G$ of order $d$ such that $H$ is normal or abnormal in $G$. We give a complete classification of those groups which are not $\mathcal {C}$-groups but all of whose proper subgroups are $\mathcal {C}$-groups.
LA - eng
KW - normal subgroup; abnormal subgroup; minimal non-$\mathcal {C}$-group
UR - http://eudml.org/doc/294719
ER -