曲面群和极限群的单关联子的Freiheitssätze
Freiheitssätze for one-relator quotients of surface groups and of limit groups
摘要：
在极限群的单关联子群的情形下证明了三个版本的Freiheits-n，其中极限群在循环子群上具有1-acylinertium分裂.这些都是以前发表的可定向曲面群的单关系子代数的相应陈述的自然扩张。其中两个证明是新的，即使在这种限制的情况下。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
