arXiv subjects

Muhammad Sarwar Saeed

Publications and source records attributed to Muhammad Sarwar Saeed.

2 recordsLinked to original sources

arXiv2007

Magnus subgroups of one-relator surface groups

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.

math.GR↗

arXiv2007

Freiheitssätze for one-relator quotients of surface groups and of limit groups

Three versions of the Freiheitssatz are proved in the context of one-relator quotients of limit groups, where the latter are equipped with 1-acylindrical splittings over cyclic subgroups. These are natural extensions of previously published corresponding statements for one-relator quotients of orientable surface groups. Two of the proofs are new even in that restricted context.

math.GR↗