Orbits of permutation groups on the power set

被引：32

作者：

Dolfi, S ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

ARCHIV DER MATHEMATIK | 2000年 / 75卷 / 05期

关键词：

Permutation Group; Sylow Subgroup; Disjoint Subset;

D O I：

10.1007/s000130050510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a permutation group on a finite set Omega. If G does not involve A(n) for n greater than or equal to 5, then there exist two disjoint subsets of Ohm such that no Sylow subgroup of G stabilizes both and four disjoint subsets of Ohm whose stabilizers in G intersect trivially.

引用

页码：321 / 327

页数：7