English

Krull dimension of solvable groups

Group Theory 2008-08-22 v1 Algebraic Geometry

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).

Keywords

Cite

@article{arxiv.0808.2932,
  title  = {Krull dimension of solvable groups},
  author = {A. Myasnikov and N. Romanovskiy},
  journal= {arXiv preprint arXiv:0808.2932},
  year   = {2008}
}

Comments

20B07; 20D10

R2 v1 2026-06-21T11:12:42.171Z