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arXiv · 0709.0416

Freiheitss\"{a}tze for one-relator quotients of surface groups and of limit groups

James Howie·Muhammad Sarwar Saeed
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Abstract

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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James Howie, Muhammad Sarwar Saeed. 2007-09-04. Freiheitss\"{a}tze for one-relator quotients of surface groups and of limit groups. https://doi.org/10.1093/qmath/han015

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