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

页码：569 / 593

页数：25

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