Finite groups with seminormal Sylow subgroups

被引：0

作者：

Wen Bin Guo

机构：

[1] Xuzhou Normal University,Department of Mathematics

[2] University of Science and Technology of China,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2008年 / 24卷

关键词：

finite groups; seminormal subgroups; Sylow subgroups; -soluble groups; -supersoluble groups; 20D10; 20D20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove the following theorem: Let p be a prime number, P a Sylow p-subgroup of a group G and π = π(G) \ {p}. If P is seminormal in G, then the following statements hold: 1) G is a p-soluble group and P′ ≤ Op(G); 2) lp(G) ≤ 2 and lπ(G) ≤ 2; 3) if a π-Hall subgroup of G is q-supersoluble for some q ∈ π, then G is q-supersoluble.

引用

页码：1751 / 1757

页数：6

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