id:A060817 - OEIS Search Results

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Size of the automorphism group of the alternating group A_n.

+0
2

1, 1, 2, 24, 120, 1440, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`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.`
	CROSSREFS	`A060249, A001710.` `Adjacent sequences: A060814 A060815 A060816 this_sequence A060818 A060819 A060820` `Sequence in context: A009538 A009556 A034310 this_sequence A045820 A098455 A078994`
	KEYWORD	`nonn`
	AUTHOR	`Ola Veshta (olaveshta(AT)my-deja.com), Apr 29 2001`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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