John Wilson (1741-1793) was a well-known English mathematician in his time, whose legacy lives on in his eponymous result, Wilson’s Theorem.
In this post, we’ll generalize Wison’s Theorem to non-prime modulus (and a few other generalizations) and give credit to Gauss for beating us to it by two hundred years.
In this post, we discuss a few ways in which the symmetric and alternating groups can be realized as finite collections of self-maps on the Riemann sphere. We calculate maximal injections of symmetric and alternating groups and discuss when these actions respect a finite invariant set.
Landau considered the following question – What is the maximal order of an element in the permutation group on k letters? We’ll prove some elementary bounds and deduce an asymptotic using the PNT.
a. w. walker 