The number of semigroups of order
Authors: Daniel J. Kleitman, Bruce R. Rothschild and Joel H. Spencer
Journal: Proc. Amer. Math. Soc. 55 (1976), 227-232
MSC: Primary 05A15; Secondary 20M99
MathSciNet review: 0414380
Abstract: The number of semigroups on elements is counted asymptotically for large . It is shown that ``almost all'' semigroups on elements have the following property: The elements are split into sets and there is an so that whenever , but if or is in .