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 b parts having cardinality a.
Morris, J., Spiga, P. (2021). On the base size of the symmetric and the alternating group acting on partitions. JOURNAL OF ALGEBRA, 587, 569-593 [10.1016/j.jalgebra.2021.08.009].
On the base size of the symmetric and the alternating group acting on partitions
Spiga P.
2021
Abstract
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 b parts having cardinality a.
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