Efficiency of Profinite Rigidity of Triangle Groups  

作　　者：Ji Ming MA Zi Xi WANG 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第10期1939-1948,共10页数学学报（英文版）

基　　金：partially supported by NSFC(Grant No.12171092)。

摘　　要：It is already known that finitely-generated Fuchsian groups are profinitely rigid among all lattices of connected Lie groups by the result of Bridson,Conder and Reid.Hence the triangle groups are distinguished among themselves by their finite quotients.We focus on the question about quantifying the size of a quotient which separates two triangle groups and give an explicit upper bound.

关 键 词：Triangle groups profinite completion finite quotients 

分 类 号：O152[理学—数学]