README.md

This repo contains code to support the trilogy of papers "Generically free representations" by Skip Garibaldi and Robert M. Guralnick, which can be found on the arxiv at:

• part I: https://arxiv.org/abs/1711.05502
• part II: https://arxiv.org/abs/1711.06400
• part III: https://arxiv.org/abs/1801.06915

The files in this directory are:

core codebase

• genfree-codebase-part1.magma core functions for computing generic stabilizers
• genfree-codebase-part2.magma further code that is specific to simple groups
• Makefile use make to (re)generate output files

The files below come in two flavors. The one with extension EXT = magma is the magma source code. The one with extension EXT = txt is the output obtained by running magma with the .magma file as input.

for part I

• spin-root-gen.EXT code in support of part I, Example 10.2

for part II

• genfree2.EXT calculations for specific representations for part II
• wedges.EXT calculations with wedges to support part II, section 8
• pgl4.EXT type A3 calculation from part II, Example 10.4

for part III

• special.EXT calculations for specific representations for part III