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Timeline for 2-closure of a permutation group

Current License: CC BY-SA 3.0

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Apr 6, 2016 at 12:02 comment added Derek Holt Yes that's equivalent to saying that at least one of its orbits must be regular. For finite groups, the claim in this paragraph follows from the standard result that the only finite $p$-groups with a unique subgroup of order $p$ are the cyclic and (generalized) quaternion groups.
Apr 6, 2016 at 11:27 comment added majid arezoomand Does the property you mention in the 4th paragraph of your answer must be as follows: Every (faithful) permutation representation has a trivial point-stabilizer?
Apr 6, 2016 at 9:46 vote accept majid arezoomand
Apr 4, 2016 at 5:48 vote accept majid arezoomand
Apr 6, 2016 at 5:02
Apr 4, 2016 at 5:47 comment added majid arezoomand Dear Derek, Thank you for your answer. May I have more details about your claims?
Apr 3, 2016 at 10:14 history answered Derek Holt CC BY-SA 3.0