Krull Dimension for Limit Groups I: Bounding Strict Resolutions
نویسنده
چکیده
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 sequences in the sequel.
منابع مشابه
Bounding Strict Resolutions of Limit Groups
It is shown that strict resolutions of Fn by F–limit groups have length bounded by 3n. As an application we show that the abelian analysis lattice of a limit group L has height bounded by 3 rk(L).
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