Torsion-free metabelian groups with commutator quotient \(C_{p^n}\times C_{p^m}\)

DOI10.1006/jabr.2001.9028zbMath1006.20040OpenAlexW2001113848MaRDI QIDQ1604374

Carlos Cid

Publication date: 4 July 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9028

zbMATH Keywords

subgroups of finite indexfundamental groupscommutator subgroupsmetabelian groupsBieberbach groupsfinitely generated maximal Abelian subgroupstorsion-free quotients

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (1)

Non-aspherical ends and non-positive curvature

Cites Work

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• Bieberbach groups and flat manifolds
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• ON TORSION-FREE METABELIAN GROUPS WITH COMMUTATOR QUOTIENTS OF PRIME EXPONENT
• Bieberbach groups with finite commutator quotient and point-group Cpn × Cpm

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