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. © 2008. Published by Oxford University Press.
Original language | English |
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Pages (from-to) | 313-325 |
Number of pages | 13 |
Journal | Quarterly Journal of Mathematics |
Volume | 60 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 2009 |