Computational Enumeration of Independent Generating Sets of Finite Symmetric Groups

Attila Egri-Nagy; Volker Gebhardt

paper

Computational Enumeration of Independent Generating Sets of Finite Symmetric Groups

arXiv:1602.03957

Abstract

We developed computer algebra tools for enumerating conjugacy classes of independent subsets and generating sets of symmetric groups up to $n = 7$ , and carried out an initial analysis of the obtained results.

7 pages, 5 tables, preliminary report of computational results, full paper version will be published elsewhere, v3: results recomputed for verification by new coauthor Volker Gebhardt, using MAGMA