lemkeoliver

Code related to the paper, “Uniform exponent bounds on the number of primitive extensions of number fields”, by Robert J. Lemke Oliver

Receipts for specific computations claimed in the paper.

This folder contains the receipts for most of the computations mentioned in the paper. More concretely, it holds:

• The computation of the invariant degrees of the Mathieu groups claimed in Lemma 4.18. The Magma code used to verify this computation is compute-mathieu-invariants.mag. The file mathieu-invariants-output.txt contains the output of this file run on my personal office computer with an Intel i7-12700K and 128GB of RAM.
• The determination of the exponents for the small degree extensions claimed in Theorem 5.9, and a verification of the claimed properties. The code for this is small-degree-exponents.mag, and the output of running it is small-degree-output.txt.
• The folder experiments/ contains the output of some experiments related to invariants of linear groups. This will be periodically updated.