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math.GR2011★ 1 cited
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…
math.GR2011★ 17 cited
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…