, Volume 77, Issue 2, pp 143-148

The influence of S-quasinormality of some subgroups of prime power order on the structure of finite groups

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Abstract.

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.

Received: 20.9.1999