Embedding Free Burnside Groups in Finitely Presented Groups
نویسندگان
چکیده
منابع مشابه
Embedding Free Burnside Groups in Finitely Presented Groups
We construct an embedding of a free Burnside group B(m, n) of odd n > 2 and rank m > 1 in a finitely presented group with some special properties. The main application of this embedding is an easy construction of finitely presented non-amenable groups without noncyclic free subgroups (which provides a finitely presented counterexample to the von Neumann problem on amenable groups). As another a...
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We establish a general criterion for the finite presentability of subdirect products of groups and use this to characterize finitely presented residually free groups. We prove that, for all n ∈ N, a residually free group is of type FPn if and only if it is of type Fn. New families of subdirect products of free groups are constructed, including the first examples of finitely presented subgroups ...
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We prove here that a finitely presented group with a free quotient of rank n is an HNN-extension with n stable letters of a finitely generated group where the associated subgroups are finitely generated. This theorem has a number of consequences. In particular, in the event that the free quotient is cyclic it reduces to an elementary and quick proof of a theorem of Bieri and Strebel. 1. Finitel...
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This document contains an ampliied version of the ve talks given by the author at the 22nd Holiday Mathematics Symposium at the New Mexico State University, January 3-7 1997, on the topic \Rewriting Techniques and Non-commutative Grr obner Bases".
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2005
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-004-2826-8