#derangements

topicderangements

2 papers · 1 filter

math.CO2026

Derangement permutation matrices and orbit harmonics

Yupeng Li, Jasper Liu, Brendon Rhoades

The paper investigates the algebraic and representation-theoretic properties of the set of derangement permutation matrices via the orbit harmonics quotient ring, giving explicit g…

math.GR2026

Fixed-point-free elements in two-orbit permutation groups

Jessica Anzanello, Sean Eberhard

The paper proves that any permutation group with exactly two orbits on more than two points must contain either a derangement or an element of prime‑power order fixing exactly one…