分支群的同态像与Serre性质（FA）
Homomorphic images of Branch groups, and Serre's property (FA)
摘要：
本文证明了一个非线性生成的分支群具有Serre性质（FA）当且仅当它不上射到无限循环群或无限二面体群上.构造了一个自相似分支群在无限循环群上满射的例子。
英文摘要：
It is shown that a finitely generated branch group has Serre's property (FA) if and only if it does not surject onto the infinite cyclic group or the infinite dihedral group. An example of a finitely generated self-similar branch group surjecting onto the infinite cyclic group is constructed.
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。
