ON TORSION-FREE METABELIAN GROUPS WITH COMMUTATOR QUOTIENTS OF PRIME EXPONENT

DOI10.1142/S0218196799000308zbMath1028.20029OpenAlexW1977798085MaRDI QIDQ4513310

Said Sidki, Narain Gupta

Publication date: 7 November 2000

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

Full work available at URL: https://doi.org/10.1142/s0218196799000308

zbMATH Keywords

elementary Abelian groupstorsion-free metabelian groupscommutator quotients

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

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Commutator subgroups of Hantzsche–Wendt groups ⋮ The Magnus property for direct products ⋮ \( \mathcal{Z} \)-compactifiable manifolds which are not pseudocollarable ⋮ Generalized Hantzsche-Wendt flat manifolds. ⋮ Non-aspherical ends and non-positive curvature ⋮ Torsion-free metabelian groups with commutator quotient \(C_{p^n}\times C_{p^m}\) ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

Cites Work

• The diamond lemma for ring theory
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II
• The Algorithmic Theory of Finitely Generated Metabelian Groups
• THE FUNDAMENTAL GROUPS OF CLOSED ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH LESS THAN 30 TETRAHEDRA