Metabelian groups: Full-rank presentations, randomness and Diophantine problems
نویسندگان
چکیده
منابع مشابه
On the Cantor-bendixson Rank of Metabelian Groups
We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence (Gn) of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson ωn.
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In 1954 A. G. Howson proved that the intersection of two finitely generated subgroups of a free group is again finitely generated. Now the free metabelian subgroups of a free metabelian group of finite rank n are quite restricted. Indeed they are again of finite rank at most n. This suggests that there may be an analog of Howson’s theorem for free metabelian groups. This turns out not to be the...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2020
ISSN: 1435-4446,1433-5883
DOI: 10.1515/jgth-2020-0091