2 papers
math.RT2025
A counterexample to a conjecture of A. R. Miller
Gabriel Navarro, Benjamin Sambale
Let be an irreducible character of a finite group . A. R. Miller conjectured that the proportion of elements such that is zero or a root of unity is at lea…
math.GR2025
On the number and sizes of double cosets of Sylow subgroups of the symmetric group
Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4
Let be a Sylow -subgroup of the symmetric group . We investigate the number and sizes of the double cosets, showing that most double cosets…