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

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

2007-09-04

arxiv.org/abs/0709.0416v1

Quart. J. Math. 60 (2009) 313--325

Mathematics

Group Theory

17 pages

Scientific paper

10.1093/qmath/han015

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.

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