On elements of order four in certain free central extensions of groups

DOI10.1017/S0305004100067955zbMath0686.20022OpenAlexW2169126242MaRDI QIDQ4204330

Ralph Stöhr

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100067955

zbMATH Keywords

free grouptorsion subgrouptorsion elementconjugacy classes of involutionsbar resolutionrelation module6-term exact sequence

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) 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) Derived series, central series, and generalizations for groups (20F14)

Related Items (6)

Free polynilpotent groups and the Magnus property ⋮ Elements of Finite Order in Free Centre-by-Nilpotent-by-Abelian Groups^# ⋮ A Note on the Homology of Free Abelianized Extensions ⋮ 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 ⋮ On torsion in certain free centre-by-soluble groups ⋮ Free centre-by-(abelian-by-exponent 2) groups.

Cites Work

• 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
• Free Group Rings
• Homology theory of free abelianized extensions
• On center by abelian by one‐relator groups

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