Abstract Let G be a group and The permutizer of H in G is H is said to be strongly permuteral in G if whenever Moreover, let is a primary element of H is said to be strongly -permuteral in G if whenever In this article, we study the structure of a group G in which every Sylow subgroup and its maximal subgroups are strongly -permuteral or abnormal and the structure of G with self-normalizing or strongly permuteral Sylow subgroups.

中文翻译：

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主子群和有限群的结构

摘要 令 G 是一个群，并且 G 中 H 的置换子是 H 的，如果每当研究群 G 的结构，其中每个 Sylow 子群及其最大子群都是强置换或异常的，以及 G 的结构具有自归一化或强置换 Sylow 子群。