The influence of S-quasinormality of some subgroups of prime power order on the structure of finite groups
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- Ramadan, M. Arch. Math. (2001) 77: 143. doi:10.1007/PL00000473
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Let G be a finite group. Two subgroups H and K of G are said to permute if \(\langle H,K\rangle = HK = KH\). A subgroup H of G is S-quasinormal in G if it permutes with every Sylow subgroup of G. In this paper we investigate the influence of S-quasinormality of some subgroups of prime power order of a finite group on its supersolvability.