Magnus subgroups of one-relator surface groups

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.

15 pages, 3 figures

References in corpus (3)

• A Magnus theorem for some one-relator groups
• Intersections of conjugates of Magnus subgroups of one-relator groups
• Freiheitssätze for one-relator quotients of surface groups and of limit groups

Cited by in corpus (1)

• On the classifying space for proper actions of groups with cyclic torsion