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Han, Zhangjia,Chen, Guiyun,Shi, Huaguo Korean Mathematical Society 2013 대한수학회지 Vol.50 No.3
A finite group G is called an NSN-group if every proper subgroup of G is either normal in G or self-normalizing. In this paper, the non-NSN-groups whose proper subgroups are all NSN-groups are determined.
Han, Zhangjia,Shi, Huaguo,Chen, Guiyun Korean Mathematical Society 2014 대한수학회보 Vol.51 No.4
A finite group G is called a $\mathcal{QNS}$-group if every minimal subgroup X of G is either quasinormal in G or self-normalizing. In this paper the authors classify the non-$\mathcal{QNS}$-groups whose proper subgroups are all $\mathcal{QNS}$-groups.
FINITE GROUPS WHICH ARE MINIMAL WITH RESPECT TO S-QUASINORMALITY AND SELF-NORMALITY
Han, Zhangjia,Shi, Huaguo,Zhou, Wei Korean Mathematical Society 2013 대한수학회보 Vol.50 No.6
An $\mathcal{SQNS}$-group G is a group in which every proper subgroup of G is either s-quasinormal or self-normalizing and a minimal non-$\mathcal{SQNS}$-group is a group which is not an $\mathcal{SQNS}$-group but all of whose proper subgroups are $\mathcal{SQNS}$-groups. In this note all the finite minimal non-$\mathcal{SQNS}$-groups are determined.
Zhangjia Han,Guiyun Chen,Huaguo Shi 대한수학회 2013 대한수학회지 Vol.50 No.3
A finite group G is called an NSN-group if every proper sub-group of G is either normal in G or self-normalizing. In this paper, thenon-NSN-groups whose proper subgroups are all NSN-groups are deter-mined.
Zhangjia Han,Huaguo Shi,Guiyun Chen 대한수학회 2014 대한수학회보 Vol.51 No.4
A finite group G is called a QNS-group if every minimal subgroup X of G is either quasinormal in G or self-normalizing. In this paper the authors classify the non-QNS-groups whose proper subgroups are all QNS-groups.
Finite groups which are minimal with respect to s-quasinormality and self-normality
Zhangjia Han,Huagui Shi,Wei Zhou 대한수학회 2013 대한수학회보 Vol.50 No.6
An SQNS-group G is a group in which every proper sub- group of G is either s-quasinormal or self-normalizing and a minimal non-SQNS-group is a group which is not an SQNS-group but all of whose proper subgroups are SQNS-groups. In this note all the finite minimal non-SQNS-groups are determined.