Joy Morris, Pablo Spiga
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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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.
Key concepts: Alternating group, Mathematics, Cardinality (data modeling), Combinatorics, Base (topology), Symmetric group, Group (periodic table), Covering groups of the alternating and symmetric groups