All Outputs (3)

On the involution fixity of simple groups (2021)
Journal Article
Burness, T. C., & Covato, E. (2021). On the involution fixity of simple groups. Proceedings of the Edinburgh Mathematical Society, 64(2), 408-426. https://doi.org/10.1017/S0013091521000237

Let be a finite permutation group of degree and let be the involution fixity of, which is the maximum number of fixed points of an involution. In this paper, we study the involution fixity of almost simple primitive groups whose socle is an alternati... Read More about On the involution fixity of simple groups.

On the prime graph of simple groups (2014)
Journal Article
Burness, T. C., & Covato, E. (2015). On the prime graph of simple groups. Bulletin of the Australian Mathematical Society, 91(2), 227-240. https://doi.org/10.1017/S0004972714000707

Let G be a finite group, let π(G) be the set of prime divisors of jGj and let Γ(G) be the prime graph of G. This graph has vertex set π(G), and two vertices r and s are adjacent if and only if G contains an element of order rs. Many properties of the... Read More about On the prime graph of simple groups.

On boundedly generated subgroups of profinite groups (2014)
Journal Article
Covato, E. (2014). On boundedly generated subgroups of profinite groups. Journal of Algebra, 406, 20-45. https://doi.org/10.1016/j.jalgebra.2014.02.019

In this paper we investigate the following general problem. Let G be a group and let i(G) be a property of G. Is there an integer d such that G contains a d-generated subgroup H with i(H) = i(G)? Here we consider the case where G is a profinite group... Read More about On boundedly generated subgroups of profinite groups.