\(\mathbb Q\)-completions of free solvable groups.

DOI10.1007/s10469-015-9332-yzbMath1337.20037OpenAlexW1192718685MaRDI QIDQ887639

N. S. Romanovskii, Chander Kanta Gupta

Publication date: 27 October 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-015-9332-y

zbMATH Keywords

centralizersrigid groupssolvable groupscomplete groups\(\mathbb Q\)-completions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Derived series, central series, and generalizations for groups (20F14) Algebraic geometry over groups; equations over groups (20F70)

Cites Work

• Divisible rigid groups.
• Equational Noetherianness of rigid soluble groups.
• Irreducible algebraic sets over divisible decomposed rigid groups.
• Krull dimension of solvable groups.
• A generalized theorem on freedom for pro-p-groups
• Logical aspects of the theory of divisible rigid groups.
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• A Note on Zero Divisors in Group-Rings
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