Finitary groups and Krull dimension over the integers
نویسندگان
چکیده
منابع مشابه
Krull Dimension and Deviation in Certain Parafree Groups
Hanna Neumann asked whether it was possible for two non-isomorphic residually nilpotent finitely generated (fg) groups, one of them free, to share the lower central sequence. G. Baumslag answered the question in the affirmative and thus gave rise to parafree groups. A group G is termed parafree of rank n if it is residually nilpotent and shares the same lower central sequence with a free group ...
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This is the first paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In this paper we show that strict resolutions of a fixed limit group have uniformly bounded length. The upper bound plays two roles in our approach. First, it provides upper bounds for heights of analysis lattices of limit groups, and second, it enables the construction of JSJ– respecting...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2006
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-006-0148-8