105 citations · 120 across the 14 of their papers we have counts for
19 papers
Counting factorizations of Singer cycles in linear and unitary groups
Joel Brewster Lewis, C. Ryan Vinroot
We count factorizations of Singer cycles as products of reflections in the families of special and general unitary and linear groups over a finite field. In the case of minimum-len…
Galois automorphisms and a unique Jordan decomposition in the case of connected centralizer
A. A. Schaeffer Fry, Jay Taylor, C. Ryan Vinroot
We show that the Jordan decomposition of characters of finite reductive groups can be chosen so that if the centralizer of the relevant semisimple element in the dual group is conn…
Some Reality Properties of Finite Simple Orthogonal Groups
Jiwon Kim, Stephen Trefethen, C. Ryan Vinroot
We prove several reality properties for finite simple orthogonal groups. For any prime power and , we show that all real conjugacy classes are strongly real in the sim…
A note on dual modules and the transpose
Thomas Madsen, Alan Roche, C. Ryan Vinroot
It is a classical result in matrix algebra that any square matrix over a field can be conjugated to its transpose by a symmetric matrix. For a non-Archimedean local field, Tupa…
On the number of irreducible real-valued characters of a finite group
Nguyen Ngoc Hung, A. A. Schaeffer Fry, Hung P. Tong-Viet +1
We prove that there exists an integer-valued function f on positive integers such that if a finite group G has at most k real-valued irreducible characters, then |G/Sol(G)| is at m…
A computational approach to the Frobenius-Schur indicators of finite exceptional groups
Stephen Trefethen, C. Ryan Vinroot
We prove that the finite exceptional groups , , and have no irreducible complex characters with Frobenius-Schur indicator , and we list e…