Krull dimension of solvable groups

Details Krull dimension of solvable groups Krull dimension of solvable groups

2008-08-21

arxiv.org/abs/0808.2932v1

Mathematics

Group Theory

20B07; 20D10

Scientific paper

In this paper we prove that free solvable groups have finite Krull dimension.
In fact, this is true for much wider class of solvable groups, termed rigid
groups. Along the way we study the algebraic structure of the limit solvable
groups (fully residually free solvable groups).

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