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A060817 Size of the automorphism group of the alternating group A_n. 1

%I #14 Jul 04 2016 06:22:25

%S 1,1,2,24,120,1440,5040,40320,362880,3628800,39916800,479001600,

%T 6227020800,87178291200,1307674368000,20922789888000,355687428096000,

%U 6402373705728000,121645100408832000,2432902008176640000

%N Size of the automorphism group of the alternating group A_n.

%C For all n except n=2, n=3 and n=6, Aut(A_n) is S_n, i.e., a(n) = n!, while Aut(A_2) = S_1, Aut(A_3) = Aut(C_3) = C_2 = S_2 and Aut(A_6) contains S_6 as a subgroup of index 2.

%Y Cf. A001710, A060249.

%K nonn

%O 1,3

%A Ola Veshta (olaveshta(AT)my-deja.com), Apr 29 2001

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)