1 citations · 3 across the 7 of their papers we have counts for
9 papers
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…
A Question about Pic(X) as a G-module
Daniel Goldstein, Robert M. Guralnick, David Joyner
Let G be a finite group acting faithfully on an irreducible non-singular projective curve defined over an algebraically closed field F. Does every G-invariant divisor class contain…
Polynomials which are locally reducible
R. Guralnick, M. Schacher, J. Sonn
Let be a global field and an integer. We show is composite if and only if there is an irreducible polynomial of degree which is reducible -ad…
Inequalities for finite group permutation modules
Daniel Goldstein, Robert M. Guralnick, I. M. Isaacs
If f is a nonzero complex-valued function defined on a finite abelian group A and \hat f is its Fourier transform, then |Supp (f)||Supp {\hat f)| \ge |A|, where Supp (f) and Supp (…
Conjugacy Class Properties of the Extension of GL(n,q) Generated by the Inverse Tranpose Involution
Jason Fulman, Robert Guralnick
Letting tau denote the inverse transpose automorphism of GL(n,q), a formula is obtained for the number of g in GL(n,q) so that gg^{tau} is equal to a given element h. This generali…