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Find all such n

Source: Miklós Schweitzer 2013, P3

June 28, 2014
group theoryabstract algebrasuperior algebrasuperior algebra unsolved

Problem Statement

Find for which positive integers nn the AnA_n alternating group has a permutation which is contained in exactly one 22-Sylow subgroup of AnA_n.
Proposed by Péter Pál Pálfy