Magma computer program for J-groups and exponent polynomials

This is supporting Magma computer code for the paper "Groups G satisfying a functional equation f(xk)=xf(x) for some k in G" by Dominik Bernhardt, Tim Boykett, Alice Devillers, Johannes Flake and S.P. Glasby, see the Mathematics arXiv. The code gives a series of functions for computing with J-groups. In particular it justifies the claim made in Remark 4.12 that Theorem 4.10 holds for c=7 and p>3.

本数据集为Dominik Bernhardt、Tim Boykett、Alice Devillers、Johannes Flake及S.P. Glasby所著论文"Groups G satisfying a functional equation f(xᵏ)=x f(x) for some k in G"（即《满足函数方程f(xᵏ)=x f(x)（其中k∈G）的群G》）提供配套的Magma计算机代码，相关内容可于数学预印本平台arXiv查阅。该代码提供了一系列用于J群（J-groups）计算的函数，具体而言，其验证了注记4.12中提出的论断：当c=7且p>3时，定理4.10成立。