Generalized Versality, Special Points, and Resolvent Degree for the Sporadic Groups

Web Page for Generalized Versality, Special Points, and Resolvent Degree for the Sporadic Groups

Claudio Gómez-Gonzáles, Alexander J. Sutherland, and Jesse Wolfson


This paper uses computations completed in SageMath [SageMath2022] by accessing GAP [GAP2022]. The SageMath script compute_molien.sage lets you pick a sporadic group G and either




Outcome 1 happens when G = M11, M12, M22, M23, M24, Co3, Co2, Co1, J1, J2, J3, Suz, HS, McL, Ru, or He.

Outcome 2 happens when G = J4, Fi22, Fi23, Fi24', HN, Th, O'N, Ly, B, and M.


Here are the data files, output files, the script, and a ZIP file containing all aforementioned files:

Output Files (Rational Functions)

Data Files (Coefficients)

Output Files (Coefficients)

Logo for GAP 4
Logo for SageMath

[GAP2022] The GAP Group, GAP -- Groups, Algorithms, and Programming, Version 4.12.2; 2022, https://www.gap-system.org.

[Sag22] The Sage Developers, SageMath, the Sage Mathematics Software System; 9.5, 2022, https://www.sagemath.org.