most citedRational Groups and a Characterization of a Class of Permutation Groups

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2019

The Sym(3) Conjecture and Alt(8)

Cecil Andrew Ellard

We give an alternate computer-free proof of a result of Z. Arad, M. Muzychuk, and A. Oliver: if G is a minimal counterexample to the Sym(3) conjecture, then Soc(G)' cannot be isomo…

math.GR2019

A Geometric Characterization of Rational Groups

Cecil Andrew Ellard

We give a geometric characterization of finite rational groups. In particular, we prove that a finite group is rational if and only if there exists a finite geometry of type $I…

math.GR2019★ 2 cited

Rational Groups and a Characterization of a Class of Permutation Groups

Cecil Andrew Ellard

We prove that a finite group is rational if and only if it has a set of permutation characters which separate conjugacy classes. It follows from this that a finite group is rationa…