Finitely presented groups and the Whitehead nightmare
نویسندگان
چکیده
منابع مشابه
Finitely Presented Residually Free Groups
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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The Todd-Coxeter coset enumeration algorithm is one of the most powerful tools of computational group theory. It may be viewed as a means of constructing permutation representations of nitely presented groups. In this paper we present an analogous algorithm for directly constructing matrix representations over many elds. In fact the algorithm is more general than this, and can be used to constr...
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2017
ISSN: 1661-7207
DOI: 10.4171/ggd/397