26 citations · 44 across the 18 of their papers we have counts for
4 papers · 1 filter
Remarks on Proficient groups
R. M. Guralnick, W. M. Kantor, M. Kassabov +1
If a finite group G has a presentation with d generators and r relations, it is well-known that r - d is at least the rank of the Schur multiplier of G; a presentation is called ef…
The local lifting problem for actions of finite groups on curves
Ted Chinburg, Robert Guralnick, David Harbater
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic 0 the faithful continuous action of a finite group on…
Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with Applications to Derangements
Jason Fulman, Robert Guralnick
We present explicit upper bounds for the number and size of conjugacy classes in finite Chevalley groups and their variations. These results have been used by many authors to study…
Characterizations of the Solvable Radical
Paul Flavell, Simon Guest, Robert Guralnick
We prove that there exists a constant with the property: if $\calC$ is a conjugacy class of a finite group such that every elements of $\calC$\ generate a solvable subg…