Krull dimension for limit groups IV: Adjoining roots

Details Krull dimension for limit groups IV: Adjoining roots Krull dimension for limit groups IV: Adjoining roots

2008-12-10

arxiv.org/abs/0812.1816v1

Mathematics

Group Theory

25 pages, 3 full color figures

Scientific paper

This is the fourth and last paper in a sequence on Krull dimension for limit
groups, answering a question of Z. Sela. In it we finish the proof, analyzing
limit groups obtained from other limit groups by adjoining roots. We generalize
our work on Scott complexity and adjoining roots from the previous paper in the
sequence to the category of limit groups.

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