3

Part of 2013 Miklós Schweitzer

Problems(1)

Find all such n

Source: Miklós Schweitzer 2013, P3

Find for which positive integers

n

A_n

alternating group has a permutation which is contained in exactly one

2

-Sylow subgroup of

A_n

.
Proposed by Péter Pál Pálfy

group theoryabstract algebrasuperior algebrasuperior algebra unsolved