99 citations · 492 across the 111 of their papers we have counts for
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GAP Computations Concerning Hamiltonian Cycles in the Generating Graphs of Finite Groups
Thomas Breuer
This is a collection of examples showing how the GAP system can be used to compute information about the generating graphs of finite groups. It includes all examples that were need…
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…