A formula for the base size of the symmetric group in its action on subsets

Giovanni Mecenero,Pablo Spiga

AUSTRALASIAN JOURNAL OF COMBINATORICS（2024）

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摘要

Given two positive integers n and k, we obtain a formula for the base size of the symmetric group of degree n in its action on k -subsets. Then we use this formula to compute explicitly the base size for each n and for each k <= 14.

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关键词

symmetric group,base size

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