99 citations · 492 across the 111 of their papers we have counts for
5 papers · 1 filter
Weakly Closed Unipotent Subgroups in Chevalley Groups
R. Guralnick, G Roehrle
The goal of this note is to classify the weakly closed unipotent subgroups in the split Chevalley groups. In an application we show under some mild assumptions on the characteristi…
Orders of Finite Groups of Matrices
Robert M. Guralnick, Martin Lorenz
We present a new proof of a theorem of Schur's determining the least common multiple of the orders of all finite groups of complex -matrices whose elements have traces…
Exceptional covers and bijections on rational points
Robert M. Guralnick, Thomas J. Tucker, Michael E. Zieve
We show that if f: X --> Y is a finite, separable morphism of smooth curves defined over a finite field F_q, where q is larger than an explicit constant depending only on the degre…
Permutation polytopes and indecomposable elements in permutation groups
Robert Guralnick, David Perkinson
Each group G of nxn permutation matrices has a corresponding permutation polytope, P(G):=conv(G) in R^{nxn}. We relate the structure of P(G) to the transitivity of G. In particular…
Decompositions of Small Tensor Powers and Larsen's Conjecture
Robert M. Guralnick, Pham Huu Tiep
We classify all pairs (G,V) with G a closed subgroup in a classical group with natural module V over the complex numbers such that G has the same composition factors on the kth ten…