English

Magnus subgroups of one-relator surface groups

Group Theory 2010-12-14 v1

Abstract

A one-relator surface group is the quotient of an orientable surface group by the normal closure of a single relator. A Magnus subgroup is the fundamental group of a suitable incompressible sub-surface. A number of results are proved about the intersections of such subgroups and their conjugates, analogous to results of Bagherzadeh, Brodskii, and Collins in classical one-relator group theory.

Keywords

Cite

@article{arxiv.0709.4393,
  title  = {Magnus subgroups of one-relator surface groups},
  author = {James Howie and Muhammad Sarwar Saeed},
  journal= {arXiv preprint arXiv:0709.4393},
  year   = {2010}
}

Comments

15 pages, 3 figures

R2 v1 2026-06-21T09:22:54.239Z