LIMITS OF METABELIAN GROUPS

DOI10.1142/S0218196712500312zbMath1282.20022arXiv1007.1356MaRDI QIDQ3166262

Luc Guyot

Publication date: 10 October 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1356

zbMATH Keywords

Krull dimensionmetabelian groupsBaumslag-Solitar groupsuniversal theoriesalgebraic numberspatch topologylimits of groupsspace of marked groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Algebraic numbers; rings of algebraic integers (11R04) Limits, profinite groups (20E18) Ultraproducts and related constructions (03C20) Algebraic geometry over groups; equations over groups (20F70)

Related Items (2)

Knapsack and the power word problem in solvable Baumslag–Solitar groups ⋮ Ordering the space of finitely generated groups

Cites Work

• Unnamed Item
• Unnamed Item
• A sofic group away from amenable groups.
• Krull dimension of solvable groups.
• On the Cantor-Bendixson rank of metabelian groups.
• Is the critical percolation probability local?
• On the isolated points in the space of groups.
• On uniform exponential growth for solvable groups.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A general theory of structure spaces with applications to spaces of prime ideals
• Some finitely generated, infinitely related metabelian groups with trivial multiplicator
• Almost finitely presented soluble groups
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• A classification of fully residually free groups of rank three or less
• The space of finitely generated groups
• Limit groups as limits of free groups.
• Basic number theory.
• Estimates of Minkowski dimensions in the space of marked groups.
• THE SPACE OF FINITELY GENERATED RINGS
• Free Group Rings
• ∀-free metabelian groups
• A Description of Ideals in Noetherian Rings
• On lattice points in n -dimensional star bodies I. Existence theorems
• Normal automorphisms of free groups

This page was built for publication: LIMITS OF METABELIAN GROUPS