Finite groups all of whose maximal subgroups are SB-groups
Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1135-1144
Printed July 31, 2014
Pengfei Guo, Junxin Wang, and Hailiang Zhang
City University of Hong Kong, Shanxi University of Finance and Economics, Zhejiang Ocean University
Abstract : A finite group $G$ is called a SB-group if every subgroup of $G$ is either $s$-quasinormal or abnormal in $G$. In this paper, we give a complete classification of those groups which are not SB-groups but all of whose proper subgroups are SB-groups.
Keywords : SB-group, minimal non-SB-group, supersolvable group, power automorphism
MSC numbers : Primary 20D10, 20E34
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