Abstract
Let H be a subgroup of a finite group G. We say that H is SS-quasinormal in G if H possesses a supplement B such that H permutes with every Sylow subgroup of B. In this paper, we establish the p-nilpotency and supersolvability of a group under the assumption that maximal subgroups of a Sylow subgroup are SS-quasinormal in the G-normalizer of the Sylow subgroup.
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Foundation item: Supported by SRFYEC(2014Y500).
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Zhong, G., Lin, SX. On the SS-quasinormality of the maximal subgroups of a Sylow subgroup in its normalizer. Ricerche mat. 65, 187–192 (2016). https://doi.org/10.1007/s11587-016-0259-y
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DOI: https://doi.org/10.1007/s11587-016-0259-y