Documentation for the GAP code file OrbOrd.txt

TL;DR

This paper provides detailed documentation of GAP code functions used to compute bounds on automorphism orbits and element orders in nonabelian finite simple groups of Lie type, aiding researchers in computational group theory.

Contribution

It offers a comprehensive description of the code for calculating automorphism orbits and element orders in finite simple groups of Lie type, facilitating further research and computational analysis.

Findings

Provides functions to compute bounds on automorphism orbits.

Includes methods to determine element orders in finite simple groups.

Enhances computational tools for group theory research.

Abstract

We give a comprehensive description of the functions and variables defined in the authors' GAP code file OrbOrd.txt, which serve mainly to compute (bounds on) the number of $\operatorname{Aut}(S)$-orbits on $S$, or the set or number of element orders in $S$ for nonabelian finite simple groups of Lie type $S$.