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Gergő Gyenizse: The symmetric part of a finitely generated free lattice |
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| We call a lattice term symmetric if any permutation of the variables results in the same term. The symmetric terms (of a given arity) form a sublattice in the free lattice (of that arity). In a 2018 paper, the author, together with Czédli and Kunos, proved some surprising facts about this lattice, for example, that it is not finitely generated. In this talk, I will show some new results about this lattice. They naturally lead to the concept of medians, that is, monotone majority operations, and inner medians, that is, majority terms, of a lattice. The lecture will be in the Riesz lecture hall. |
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