Abstract
We show that the asymptotic number of 2-generated semigroups is super-exponential in the cardinality. This answers a question raised by Bailey et al. (Isr J Math 215(1):459–501, 2016).
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Communicated by Jean-Eric Pin.
The author thanks Prof. Stuart Margolis for pointing out the construction from [4].
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Greenfeld, B. The number of boundedly generated semigroups is super-exponential in the cardinality. Semigroup Forum 96, 600–602 (2018). https://doi.org/10.1007/s00233-017-9893-2
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DOI: https://doi.org/10.1007/s00233-017-9893-2