ON PERMUTATION-GROUPS WITH BOUNDED MOVEMENT

被引：25

作者：

PRAEGER, CE

机构：

[1] Department of Mathematics, University of Western Australia, Nedlands

来源：

JOURNAL OF ALGEBRA | 1991年 / 144卷 / 02期

关键词：

D O I：

10.1016/0021-8693(91)90114-N

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 set Ω with no fixed points in Ω and let m be a positive integer. If no element of G moves any subset of Ω by more than m points (that is if |Γ - Γg|≤ m for every Γ ⊆ Ω and g ε{lunate} G), then Ω is finite, and moreover |Ω| $ ̌5m - 2. If moreover G is transitive on Ω then |Ω| $ ̌3m and equality can be achieved if m = 2 or m is a power of 3. © 1991.

引用

页码：436 / 442

页数：7