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Primitive k-free permutation groups

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For a finite permutation group G acting on a set Ω, we say that G is k-free if the set-wise stabilizer of every k-subset of Ω is trivial. The purpose of this article is to describe, for all k, the primitive k-free permutation groups.

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Correspondence to C. Bates.

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Received: 20 February 2006

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Bates, C., Bundy, D., Hart, S. et al. Primitive k-free permutation groups. Arch. Math. 88, 193–198 (2007). https://doi.org/10.1007/s00013-006-1913-5

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  • DOI: https://doi.org/10.1007/s00013-006-1913-5

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