99 citations · 492 across the 111 of their papers we have counts for
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Enumeration of conjugacy classes in affine groups
Jason Fulman, Robert Guralnick
We study the conjugacy classes of the classical affine groups. We derive generating functions for the number of classes analogous to formulas of Wall and the authors for the classi…
Cohen Lenstra Partitions and Mutually Annihilating Matrices over a Finite Field
Jason Fulman, Robert Guralnick
Motivated by questions in algebraic geometry, Yifeng Huang recently derived generating functions for counting mutually annihilating matrices and mutually annihilating nilpotent mat…
Enumeration of Commuting Pairs in Lie Algebras over Finite Fields
Jason Fulman, Robert Guralnick
Feit and Fine derived a generating function for the number of ordered pairs of commuting n by n matrices over the finite field F_q. This has been reproved and studied by Bryan and…
On fixed points of permutations
Persi Diaconis, Jason Fulman, Robert Guralnick
The number of fixed points of a random permutation of 1,2,...,n has a limiting Poisson distribution. We seek a generalization, looking at other actions of the symmetric group. Rest…
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…