Torsion in pro-finite completions of torsion-free groups
نویسندگان
چکیده
منابع مشابه
Torsion in Profinite Completions of Torsion-free Groups
LET G be a residually-finite torsion-free group. Is Gthe profinite completion of G-torsion free? This question was asked in [CKL] where it was shown that if G is a finitely generated metabelian-by-finite group then indeed G is torsion free. On the other hand Evans [E] showed that if G is not finitely generated then it is possible that G has torsion. His example is also metabelian. In this note ...
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The following question was asked by V. V. Bludov in The Kourovka Notebook in 1995: If a torsion-free group G has a finite system of generators a1, . . . , an such that every element of G has a unique presentation in the form a k1 1 · · · a kn n where ki ∈ Z, is it true that G is virtually polycyclic? The answer is “not always.” A counterexample is constructed in this paper as a group presented ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1990
ISSN: 0022-4049
DOI: 10.1016/0022-4049(90)90112-u