Abstract
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).
Original language | English |
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Pages (from-to) | 2814-2831 |
Number of pages | 18 |
Journal | Journal of Algebra |
Volume | 324 |
Issue number | 10 |
DOIs | |
State | Published - Nov 2010 |
Keywords
- Algebraic geometry over groups
- Krull dimension
- Solvable groups
- Zariski dimension