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13.28 (1995)

Solved

(D. M. Evans). A permutation group on an infinite set is cofinitary if its non-identity elements fix only finitely many points. Is it true that a closed cofinitary permutation group is locally compact (in the topology of pointwise convergence)?

Contributor: P. J. Cameron

Progress

No, not always (G. Hjorth, J. Algebra, 200, no. 2 (1998), 439–448).

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