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

2021/02/20 by Joy Morris, Pablo Spiga, Morris, Joy +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2102.10428

openalex publication_date 2021/02/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Given three positive integers n,a,b with n=ab, we determine the base size\nof the symmetric group and of the alternating group of degree n in their\naction on the set of partitions into b parts having cardinality a.\n

Related

• A formula for the base size of the symmetric group in its action on subsets
• The base size of the symmetric group acting on subsets
• A character theoretic formula for base size II
• A character theoretic formula for base size
• The p-width of the alternating groups