difficulty of algorithmI find many of the required
sympy.I am majorly concerned about the
step 10of the
page no. 22.
socle is generated by minimal normal subgroups, one approach to finding it would be enumerating the normal subgroups, recording those that are minimal and then taking the subgroup that they generate. This could be done by iterating over group elements z ∈ G and taking the normal closures ⟨z^G⟩: every minimal normal subgroup is sure to appear in this list
permutation groupare calculated using
naive algorithmIt can be improved by using
random methodpresented here
Groups ’93 Galway/St Andrews(https://ru.b-ok2.org/dl/703924/e2e2ff).
I have uploaded my GSoc 2020 Proposal here (https://docs.google.com/document/d/1qFXjinWnO1NBQAeuHm_-ARVnlGM7Lx2XzZ3n2AXtc0Y/edit?usp=sharing) please have a look your suggestions are really required here and please say if I miss out anything.
Thank you very much for your time.