A239892 List of orders of finite simple groups which are unit groups of rings.

2, 3, 7, 31, 127, 168, 8191, 20160, 131071, 524287, 9999360, 2147483647, 20158709760, 163849992929280, 2305843009213693951, 5348063769211699200, 699612310033197642547200, 618970019642690137449562111, 366440137299948128422802227200, 162259276829213363391578010288127

Offset

1,1

Comments

The rings are assumed to be unital, but not necessarily commutative, and ring homomorphisms send 1 to 1.

Links

Table of n, a(n) for n=1..20.

Christopher Davis and Tommy Occhipinti, Which finite simple groups are unit groups?, preprint, J. Pure Appl. Algebra, 218 (2014), no. 4, 743--744. MR3133704.

Formula

Union of {2}, A000668 and A002884.

Crossrefs

Cf. A239891, A000668, A002884.

Sequence in context: A265113 A228171 A089359 * A267487 A343733 A081947

Adjacent sequences: A239889 A239890 A239891 * A239893 A239894 A239895

Keyword

nonn

Author

N. J. A. Sloane, Apr 03 2014

Status

approved