Mathematics – Group Theory
Scientific paper
2007-09-27
Journal of Algebra 323 (2010) 1860--1871
Mathematics
Group Theory
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.
Howie James
Saeed Muhammad Sarwar
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