English

The sieving phenomenon for finite groups

Combinatorics 2018-03-30 v1

Abstract

The cyclic sieving phenomenon is a well-studied occurrence in combinatorics appearing when a cyclic group acts on a finite set. In this paper, we demonstrate a natural extension of this theory to finite abelian groups. We also present a similar result for dihedral groups and suggest approaches for natural generalizations to nonabelian groups.

Keywords

Cite

@article{arxiv.1803.11122,
  title  = {The sieving phenomenon for finite groups},
  author = {Caleb Ji},
  journal= {arXiv preprint arXiv:1803.11122},
  year   = {2018}
}
R2 v1 2026-06-23T01:08:57.456Z