English

An EL-labeling of the subgroup lattice

Combinatorics 2011-01-27 v3 Group Theory

Abstract

In a 2001 paper, Shareshian conjectured that the subgroup lattice of a finite, solvable group has an EL-labeling. We construct such a labeling, and verify that our labeling has the expected properties.

Keywords

Cite

@article{arxiv.0708.3539,
  title  = {An EL-labeling of the subgroup lattice},
  author = {Russ Woodroofe},
  journal= {arXiv preprint arXiv:0708.3539},
  year   = {2011}
}

Comments

8 pages. v2 has minor exposition improvements and typos fixed, and one reference added. v3 has typos fixed

R2 v1 2026-06-21T09:10:48.679Z