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

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Abstract Given three positive integers n , a , b with n = a b , we determine the base size of the symmetric group and of the alternating group… Click to show full abstract

Abstract Given three positive integers n , a , b with n = a b , 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.

Keywords: size symmetric; alternating group; group; base size

Journal Title: Journal of Algebra
Year Published: 2021

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