A. Miller

activity

20082025

most citedCongruences in character tables of symmetric groups

3 citations · 6 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.RT2023

Character and class parameters from entries of character tables of symmetric groups

Alexander R. Miller

If all of the entries of a large $S_{n}$ character table are covered up and you are allowed to uncover one entry at a time, then how can you quickly identify all of the indexing char…

math.RT2023★ 1 cited

Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups

Alexander R. Miller, Danny Scheinerman

This is a brief report on some recent large-scale Monte Carlo simulations for approximating the density of zeros in character tables of large symmetric groups. Previous computation…

math.RT2023★ 1 cited

Covering numbers for characters of symmetric groups

Alexander R. Miller

If $n > 4$ and $c (θ)$ denotes the set of irreducible constituents of a character $θ$ , then $c (χ^{k}) = Irr (S_{n})$ for all nonlinear $χ \in Irr (S_{n})$ if and only if $k \geq n - 1$ .