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math.GR2023
Short words of infinite order
Junho Peter Whang
Given an infinite linear group with a finite set of generators, we show that the shortest word length of an element of infinite order has an upper bound that depends only on the nu…
math.AG2023
On finite categories of algebraic varieties
Junho Peter Whang
We prove that the finiteness of a finitely generated category of irreducible algebraic varieties over a field of characteristic zero is decidable. We also obtain a Burnside finiten…
math.DS2023
On periodic orbits of polynomial maps
Junho Peter Whang
We prove the existence of an effective universal upper bound for the order of any integral periodic orbit of any integral algebraic dynamical system in a fixed ambient space. Using…