Free centre-by-(abelian-by-exponent 2) groups.

DOI10.1016/j.jalgebra.2015.02.014zbMath1338.20031OpenAlexW2023557981MaRDI QIDQ2339490

Maria Alexandrou, Ralph Stöhr

Publication date: 1 April 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.02.014

zbMATH Keywords

homology of groupsfree central extensionsfree centre-by-metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05)

Cites Work

• Unnamed Item
• On torsion in free central extensions of some torsion-free groups
• On Gupta representations of central extensions
• Elements of order 2 in a free centrally solvable group
• On the homology of the higher relation modules
• FREE CENTRE-BY-METABELIAN LIE RINGS
• ON ELEMENTS OF FINITE ORDER IN FREE GROUPS OF CERTAIN VARIETIES
• FINITE GROUPS HAVING ISOMORPHIC IMAGES IN EVERY FINITE GROUP OF WHICH THEY ARE HOMOMORPHIC IMAGES
• THE STRUCTURE OF FREE GROUPS OF CERTAIN VARIETIES
• 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
• Homology theory of free abelianized extensions
• The free centre-by-metabelian groups

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