combinatorial algebra 1commutative semifields 1exponential growth bounds 1finite fields 1isotopy classification 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
An exponential bound on the number of non-isotopic commutative semifields
Faruk GöloÄlu, Lukas Kölsch
The paper proves that the number of non‑isotopic commutative semifields of odd order pⁿ grows exponentially in n for n = 4t with t not a power of two, by introducing a new family o…
math.CO2025
The autotopism group of a family of commutative semifields
Lukas Kölsch, Alexandra Levinshteyn, Milan Tenn
We completely determine the autotopism group of the (as of now) largest family of commutative semifields found by GöloÄlu and Kölsch. Since this family of semifields generally d…
math.CO2024
A unifying construction of semifields of order
Lukas Kölsch
In this article, we present two new constructions for semifields of order . Together, the constructions unify and generalize around a dozen distinct semifield constructions…