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

JOURNAL OF ALGEBRA

卷:587

Article

Morris, Joy¹  Spiga, Pablo² 

[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

关键词: Primitive group;    Symmetric group;    Alternating group;    Partitions;    Base size;   

DOI  :  10.1016/j.jalgebra.2021.08.009

来源: Elsevier

【 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.

【 授权许可】

Free