Elements of Finite Order in Free Centre-by-Nilpotent-by-Abelian Groups#

DOI10.1080/00927870500243080zbMath1138.20037OpenAlexW2017215335MaRDI QIDQ5707926

Seyhun Kesim

Publication date: 25 November 2005

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

Full work available at URL: https://doi.org/10.1080/00927870500243080

zbMATH Keywords

generatorstorsion subgrouphomology groupsrelatively free groupsrelatively free central extensionstorsion in free centre-by-metabelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

On elements of order 2 in the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3

Cites Work

• Unnamed Item
• On torsion in free central extensions of some torsion-free groups
• On Gupta representations of central extensions
• Representations of certain verbal wreath products by matrices
• Homology of free Lie powers and torsion in groups
• ON ELEMENTS OF FINITE ORDER IN FREE GROUPS OF CERTAIN VARIETIES
• THE STRUCTURE OF FREE GROUPS OF CERTAIN VARIETIES
• HOMOLOGY OF METABELIAN LIE POWERS AND TORSION IN RELATIVELY FREE GROUPS
• FREE CENTER-BY-METABELIAN GROUPS, LIE ALGEBRAS, AND $ \mathcal{D}$-GROUPS
• On elements of order four in certain free central extensions of groups
• Homology of Higher Relation Modules and Torsion in Free Central Extensions of Groups
• Symmetric powers, metabelian Lie powers and torsion in groups
• The free centre-by-metabelian groups

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