Krull dimension for limit groups III: Scott complexity and adjoining roots to finitely generated groups

Details Krull dimension for limit groups III: Scott complexity and adjoining roots to finitely generated groups Krull dimension for limit groups III: Scott complexity and adjoining roots to finitely generated groups

2006-12-08

arxiv.org/abs/math/0612222v3

Mathematics

Group Theory

Consistent with other in the series, I hope. No major changes. New title

Scientific paper

This is the third paper in a sequence on Krull dimension for limit groups,
answering a question of Z. Sela. We give generalizations of the well known fact
that a nontrivial commutator in a free group is not a proper power to both
graphs of free groups over cyclic subgroups and freely decomposable groups.
None of the paper is specifically about limit groups.

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