自相似群的算术性质
Arithmetic aspects of self-similar groups
摘要：
证明了半单代数群中的不可约格与算术格实质同构当且仅当它在有限价的有根树上有忠实的自相似作用。
英文摘要：
We prove that an irreducible lattice in a semisimple algebraic group is virtually isomorphic to an arithmetic lattice if and only if it admits a faithful self-similar action on a rooted tree of finite valency.
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。
