G-covering systems of subgroups for the class of supersoluble groups

被引：0
|
作者：
Y. Li
机构：
[1] Nanchang University,
[2] Guangdong Institute of Education,undefined
来源：
Siberian Mathematical Journal | 2006年 / 47卷
关键词：
Sylow subgroup; supplement; supersoluble group; covering system;
D O I：
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中图分类号：
学科分类号：
摘要：
Let ℱ be a class of groups. Given a group G, assign to G some set of its subgroups Σ = Σ(G). We say that Σ is a G-covering system of subgroups for ℱ (or, in other words, an ℱ-covering system of subgroups in G) if G ∈ ℱ wherever either Σ = ∅ or Σ ≠ ∅ and every subgroup in Σ belongs to ℱ. In this paper, we provide some nontrivial sets of subgroups of a finite group G which are G-covering subgroup systems for the class of supersoluble groups. These are the generalizations of some recent results, such as in [1–3].
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页码：474 / 480
页数：6
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