most citedOn the maximum orders of elements of finite almost simple groups and primitive permutation groups

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2013

Criteria for solvable radical membership via p-elements

Simon Guest, Dan Levy

Guralnick, Kunyavskii, Plotkin and Shalev have shown that the solvable radical of a finite group can be characterized as the set of all such that is solvable f…

math.GR2013

The exact number of r-regular elements in finite exceptional groups

Simon Guest

We calculate the precise number of r-regular elements in the finite exceptional groups. As a corollary we find that the proportion of r-regular elements is at least 3577/18432 and…

math.GR2013★ 4 cited

On the maximum orders of elements of finite almost simple groups and primitive permutation groups

Simon Guest, Joy Morris, Cheryl Praeger +1

We determine upper bounds for the maximum order of an element of a finite almost simple group with socle T in terms of the minimum index m(T) of a maximal subgroup of T: for T not…