Burger-Mozes型群的素局部化
Prime Localizations of Burger--Mozes-type groups
摘要：
本文研究了Burger-Mozes泛群作用在正则树上的局部象给定的有限度置换群的情形。我们还考虑了由于Le Boudec和Lederle的前者的局部同构推广。对于一个大类的置换群和素数$p$，我们确定他们的本地$p$ -Sylow子群以及他们的$p$ -本地化，这是确定为一个组的相同类型在某些情况下。
英文摘要：
This article concerns Burger--Mozes universal groups acting on regular trees locally like a given permutation group of finite degree. We also consider locally isomorphic generalizations of the former due to Le Boudec and Lederle. For a large class of such permutation groups and primes $p$ we determine their local $p$-Sylow subgroups as well as subgroups of their $p$-localization, which is identified as a group of the same type in certain cases.
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。
