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.
Mecenero, G., Spiga, P. (2024). A formula for the base size of the symmetric group in its action on subsets. TEH AUSTRALASIAN JOURNAL OF COMBINATORICS, 88(2), 244-255.
A formula for the base size of the symmetric group in its action on subsets
Spiga P.
2024
Abstract
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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