On the base size of the symmetric and the alternating group acting on partitions

被引：8
|
作者：
Morris, Joy [1 ]
Spiga, Pablo [2 ]
机构：
[1] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy
来源：
JOURNAL OF ALGEBRA | 2021年 / 587卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Primitive group; Symmetric group; Alternating group; Partitions; Base size; FINITE CLASSICAL-GROUPS; FIXED-POINT RATIOS;
D O I：
10.1016/j.jalgebra.2021.08.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given three positive integers n, a, b with n = ab, we determine the base size of the symmetric group and of the alternating group of degree n in their action on the set of partitions into bparts having cardinality a. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：569 / 593
页数：25
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