Magnus subgroups of one-relator surface groups

James Howie, Muhammad Sarwar Saeed

Research output: Contribution to journalArticle

1 Citation (Scopus)

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. © 2010 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)1860-1871
Number of pages12
JournalJournal of Algebra
Volume323
Issue number7
DOIs
Publication statusPublished - 1 Apr 2010

Keywords

  • Magnus subgroups
  • One-relator theory
  • Surface groups

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