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Creators/Authors contains: "Park, Jeremie"

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  1. ; ; ; ; ; ; ; ; (, Tunisian Journal of Mathematics)
    We develop the theory of saturated transfer systems on modular lattices, ultimately producing a “matchstick game” that puts saturated transfer systems in bijection with certain structured subsets of covering relations. We also prove that Hill’s characteristic function χ for transfer systems on a lattice P surjects onto interior operators for P, and moreover, the fibers of χ have unique maxima which are exactly the saturated transfer systems. Lastly, after an interlude developing a recursion for transfer systems on certain combinations of bounded posets, we apply these results to determine the full lattice of transfer systems for rank two elementary abelian groups. 
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    Free, publicly-accessible full text available January 1, 2026