In this paper we investigate actions of SAut(Fn), the unique index 2 subgroup of Aut(Fn), on small sets, improving upon results by Baumeister--Kielak--Pierro for several small values of n. Using a computational approach for n ⩾ 5, we show that every action of SAut(Fn) on a set containing fewer than 20 elements is trivial.
Professor Dawid Kielak
"On the Smallest Non-trivial Action of SAut(Fn) for Small n,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 23:
2, Article 4.
Available at: https://scholar.rose-hulman.edu/rhumj/vol23/iss2/4