English

Gilman's Conjecture

Group Theory 2018-10-11 v2

Abstract

We prove a conjecture made by Gilman in 1984 that the groups presented by finite, monadic, confluent rewriting systems are precisely the free products of free and finite groups.

Keywords

Cite

@article{arxiv.1806.06155,
  title  = {Gilman's Conjecture},
  author = {Andy Eisenberg and Adam Piggott},
  journal= {arXiv preprint arXiv:1806.06155},
  year   = {2018}
}

Comments

21 pages, 8 figures

R2 v1 2026-06-23T02:31:48.405Z