论文标题
汉堡的主要本地化 - 型组群
Prime Localizations of Burger--Mozes-type groups
论文作者
论文摘要
本文涉及汉堡 - 像给定的有限程度的置换群体一样，在当地的普通树上进行通用群体。由于Le Boudec和Lederle，我们还考虑了前者的局部同构概括。对于大量此类排列组和Primes $ p $，我们确定其本地$ p $ -sylow子组以及其$ p $ localization的子组，在某些情况下，它们被确定为相同类型的组。
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.
