Séminaire Lotharingien de Combinatoire, B80c (2019), 24 pp.

Philippe Biane

Laver Tables and Combinatorics

Abstract. The Laver tables are finite combinatorial objects with a simple elementary definition, which were introduced by R. Laver in [Adv. Math. 91 (1992), 209-231] from considerations of logic and set theory. Although these objects exhibit some fascinating properties, they seem to have escaped notice from the combinatorics community. My aim is to give a short introduction to this topic, presenting the definition and main properties and stating a few open problems, which should arouse the interest of combinatorialists


Received: October 2, 2018. Accepted: October 31, 2019. Final Version: November 13, 2019.

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