首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Group Laws and Free Subgroups in Topological Groups
Authors:Abert  Miklos
Institution:Department of Mathematics, University of Chicago 5734 University Avenue, Chicago, IL 60637, USA abert{at}math.uchicago.edu
Abstract:A proof is given that a permutation group in which differentfinite sets have different stabilizers cannot satisfy any grouplaw. For locally compact topological groups with this property,almost all finite subsets of the group are shown to generatefree subgroups. Consequences of these theorems are derived for:Thompson's group F, weakly branch groups, automorphism groupsof regular trees, and profinite groups with alternating compositionfactors of unbounded degree. 2000 Mathematics Subject Classification20B07, 20E10, 20E18, 20P05.
Keywords:
本文献已被 Oxford 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号