99 citations · 492 across the 111 of their papers we have counts for
4 papers · 2 filters
Global Oort Groups
Ted Chinburg, Robert Guralnick, David Harbater
We study the Oort groups for a prime p, i.e. finite groups G such that every G-Galois branched cover of smooth curves over an algebraically closed field of characteristic p lifts t…
Essential dimension of algebraic groups, including bad characteristic
Skip Garibaldi, Robert M. Guralnick
We give upper bounds on the essential dimension of (quasi-)simple algebraic groups over an algebraically closed field that hold in all characteristics. The results depend on showin…
Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture
Jason Fulman, Robert Guralnick
This is the fourth paper in a series. We prove a conjecture made independently by Boston et al and Shalev. The conjecture asserts that there is an absolute positive constant delta…
Surjective word maps and Burnsides theorem
Robert Guralnick, Martin Liebeck, Eamon O'Brien +2
We prove surjectivity of certain word maps on finite non-abelian simple groups. More precisely, we prove the following: if N is a product of two prime powers, then the word map sen…