Krull dimension of solvable groups

A. Myasnikov, N. Romanovskiy

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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 languageEnglish
Pages (from-to)2814-2831
Number of pages18
JournalJournal of Algebra
Volume324
Issue number10
DOIs
StatePublished - Nov 2010

Keywords

  • Algebraic geometry over groups
  • Krull dimension
  • Solvable groups
  • Zariski dimension

Fingerprint

Dive into the research topics of 'Krull dimension of solvable groups'. Together they form a unique fingerprint.

Cite this