Abstract.
We prove that if G is a locally finite k-homogeneous permutation group with \( k \geqq 9 \) on an infinite set \( \Omega \) then the stabilizer of k points of \( \Omega \) in G is of infinite order.
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Eingegangen am 12. 10. 2000
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Yoshizawa, M. On locally finite k-homogeneous permutation groups. Arch. Math. 79, 1–4 (2002). https://doi.org/10.1007/s00013-002-8277-2
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DOI: https://doi.org/10.1007/s00013-002-8277-2