3 papers
math.LO2025
Decomposing the automorphism group of the surreal numbers
Elliot Kaplan, Lothar Sebastian Krapp, Michele Serra
We study the automorphism group of the field of surreal numbers. Our main structure theorem presents a decomposition of this group into a product of five significant factors. Using…
math.LO2025
Generic derivations, differential largeness, and NTP
Elliot Kaplan, Christoph Kesting
We compare Fornasiero and Terzo's framework of generic derivations on algebraically bounded structures with León Sánchez and Tressl's differentially large fields. We show in the ca…
math.LO2024
Constant power maps on Hardy fields and transseries
Elliot Kaplan
Let be the differential field of logarithmic-exponential transseries. We consider the expansion of by the binary map that sends a real number and a po…