English

Alternating Quotients of Fuchsian Groups

Group Theory 2007-06-13 v1

Abstract

It is shown that any finitely generated non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups. This settles in the affirmative a conjecture of Graham Higman.

Keywords

Cite

@article{arxiv.math/9907148,
  title  = {Alternating Quotients of Fuchsian Groups},
  author = {Brent Everitt},
  journal= {arXiv preprint arXiv:math/9907148},
  year   = {2007}
}

Comments

20 pages, 7 figures

R2 v1 2026-07-22T18:03:56.034Z