10 citations · 28 across the 17 of their papers we have counts for
6 papers · 1 filter
Invariable Generation of Infinite Groups
William M. Kantor, Alexander Lubotzky, Aner Shalev
A subset S of a group G invariably generates G if G = <s^(g(s)) | s in S> for each choice of g(s) in G, s in S. In this paper we study invariable generation of infinite groups, wit…
Black box exceptional groups of Lie type
W. M. Kantor, K. Magaard
If a black box group is known to be isomorphic to an exceptional simple group of Lie type of (twisted) rank , other than any , over a field of known size, a Las Vegas…
Invariable generation and the chebotarev invariant of a finite group
W. M. Kantor, A. Lubotzky, And A. Shalev
A subset S of a finite group G invariably generates G if G = <hsg(s) j s 2 Si > for each choice of g(s) 2 G; s 2 S. We give a tight upper bound on the minimal size of an invariable…
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…
Presentations of finite simple groups: a computational approach
R. M. Guralnick, W. M. Kantor, M. Kassabov +1
All nonabelian finite simple groups of rank over a field of size , with the possible exception of the Ree groups , have presentations with at most rel…
Presentations of Finite Simple Groups: Profinite and Cohomological Approaches
Robert Guralnick, William M. Kantor, Martin Kassabov +1
We prove the following three closely related results. The first is that every finite simple group has a profinite presentation with 2 generators and at most 18 relations. The secon…