A Descriptive View of Combinatorial Group Theory
نویسندگان
چکیده
منابع مشابه
A descriptive view of combinatorial group theory
In this paper, we will prove the inevitable non-uniformity of two constructions from combinatorial group theory related to the word problem for finitely generated groups and the Higman-Neumann-Neumann Embedding Theorem.
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In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if G and H are countable amenable non-type I groups, then the unitary duals of G and H are Borel isomorphic.
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this article is intended to be a survey on some combinatorial topics in group theory. the bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text. i include it as i see it revolves around the concepts which are discussed in the text.
متن کاملDescriptive group theory
In Chapter 1, we introduce a notion of universality for subgroups of Polish groups that has both algebraic and topological aspects. More precisely, given a class C of subgroups of a topological group Γ, we say that a subgroup H ∈ C is a universal C subgroup of Γ if every subgroup K ∈ C is a continuous homomorphic preimage of H. Such subgroups may be regarded as complete members of C with respec...
متن کاملCombinatorial Group Theory
An early version of these notes was prepared for use by the participants in the Workshop on Algebra, Geometry and Topology held at the Australian National University, 22 January to 9 February, 1996. They have subsequently been updated and expanded many times for use by students in the subject 620-421 Combinatorial Group Theory at the University of Melbourne. Copyright 1996-2004 by C. F. Miller ...
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ژورنال
عنوان ژورنال: The Bulletin of Symbolic Logic
سال: 2011
ISSN: 1079-8986,1943-5894
DOI: 10.2178/bsl/1305810913