Krull dimension of solvable groups
By Alexei G. Myasnikov, N. Romanovskiy. 2008
47 citations recorded by the source corpus.
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).
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3f2b661b38928048ac8dd8b0f7f263cefb5a4fc3
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Equational Noetherianness of rigid soluble groups (2009, background): “Properties of such groups were studied in [ 1 ] where, in particular, it was shown that the above series is defined by the group uniquely.”