Magnus subgroups of one-relator surface groups

Mathematics – Group Theory

Scientific paper

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15 pages, 3 figures

Scientific paper

10.1016/j.jalgebra.2010.01.026

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.

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