Pranav Joshi

Another method for minimum generating set for finite groups

9

I have added a function `MinimalGeneratingSetUsingChiefSeries` that computes a minimum generating set for finite groups using the algorithm derived from [the research paper](https://arxiv.org/abs/2306.07633) by Dhara Thakkar and Andrea Lucchini. We...

Minimal Permutation Degree for Simple and Semi-Simple Groups

10

Added the function `MinimalFaithfulPermutationDegreeOfSimpleGroup` which computes the minimal degree directly, using table 4 of this paper : https://www.ams.org/journals/tran/2015-367-11/S0002-9947-2015-06293-X/S0002-9947-2015-06293-X.pdf  Also added test `MinimalFaithfulPermutationDegreeOfSimpleGroup.tst` to cross verify using `DoMinimalFaithfulPermutationDegree` and the...

Automorphisms of SL

1

For $G = SL(d,q) $, one can decompose any automorphism $\alpha : G \to G$ as $$ \alpha = idgf $$ where $i$ is an inner automorphism of G, $d$...