GROUP LAWS AND FREE SUBGROUPS IN TOPOLOGICAL GROUPS
نویسندگان
چکیده
منابع مشابه
Group laws and free subgroups in topological groups
We prove that a permutation group in which different finite sets have different stabilizers cannot satisfy any group law. For locally compact topological groups with this property we show that almost all finite subsets of the group generate free subgroups. We derive consequences of these theorems on Thompson’s group F , weakly branch groups, automorphism groups of regular trees and profinite gr...
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Introduction Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9]. However we might expect a subgroup theorem when a continuous Schreier transversal exists, and we give such a result in th...
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This paper is an extension of the talk I gave at the International Conference on Non-Commutative Rings, Group Rings, Diagram Algebras and Applications at the University of Madras in December 2006. It discusses certain techniques used to prove the existence of free subgroups in linear groups and in the unit group of integral group rings of finite groups. Its main focus is recent joint work with ...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2005
ISSN: 0024-6093,1469-2120
DOI: 10.1112/s002460930500425x