A239891 List of orders of alternating groups which are unit groups of rings.

1, 1, 3, 12, 20160

Offset

1,3

Comments

The groups in question are A_1, A_2, A_3, A-4 and A_8.

The rings are assumed to be associative and to have a unit element.

The analogous sequence when we consider symmetric groups is S_1, S_2, S_3 and S_4.

Links

Table of n, a(n) for n=1..5.

Christopher Davis, Tommy Occhipinti, Which alternating and symmetric groups are unit groups?, J. Algebra Appl., 13 (2014), no. 3, 1350114, 12 pp. MR3125882. [The source for this sequence]

Crossrefs

Cf. A001710, A239892.

Sequence in context: A262541 A036300 A169815 * A226129 A167368 A318165

Adjacent sequences: A239888 A239889 A239890 * A239892 A239893 A239894

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 03 2014

Status

approved