99 citations · 492 across the 111 of their papers we have counts for
4 papers · 2 filters
Lifting in Frattini Covers and A Characterization of Finite Solvable Groups
Robert Guralnick, Pham Huu Tiep
We prove a lifting theorem for odd Frattini covers of finite groups. Using this, we characterize solvable groups and more generally p-solvable groups in terms of containing a tripl…
Characteristic Polynomials and Fixed Spaces of Semisimple Elements
Robert Guralnick, Gunter Malle
Answering a question of Frank Calegari, we extend some of our earlier results on dimension of fixed point spaces of elements in irreducible linear groups. We consider characteristi…
Coprime subdegrees for primitive permutation groups and completely reducible linear groups
Silvio Dolfi, Robert Guralnick, Cheryl Praeger +1
In this paper we answer a question of Gabriel Navarro about orbit sizes of a finite linear group H acting completely reducibly on a vector space V: if the orbits containing the vec…
A new solvability criterion for finite groups
Silvio Dolfi, Robert Guralnick, Marcel Herzog +1
In 1968, John Thompson proved that a finite group G is solvable if and only if every 2-generator subgroup of G is solvable. In this paper, we prove that solvability of a finite gro…