On the dimension of matrix embeddings of torsion-free nilpotent groups
نویسندگان
چکیده
منابع مشابه
On the Dimension of Matrix Representations of Finitely Generated Torsion Free Nilpotent Groups
It is well known that any polycyclic group, and hence any finitely generated nilpotent group, can be embedded into GLn(Z) for an appropriate n ∈ N; that is, each element in the group has a unique matrix representation. An algorithm to determine this embedding was presented in [6]. In this paper, we determine the complexity of the crux of the algorithm and the dimension of the matrices produced ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.01.027