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 Finite groups all of whose maximal subgroups are SB-groups Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1135-1144 https://doi.org/10.4134/BKMS.2014.51.4.1135Published online 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 Downloads: Full-text PDF