On Gupta representations of central extensions

DOI10.1007/BF01161708zbMath0543.20021OpenAlexW282616687MaRDI QIDQ795925

Ralph Stöhr

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173487

zbMATH Keywords

homology groupmatrix representationtorsion elementlower central seriesGupta representation

Mathematics Subject Classification ID

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 (17)

Free group rings and derived functors ⋮ Identifications in a free group ⋮ Fixed points on higher relation modules of finite groups ⋮ Remarks on free Bieberbach groups ⋮ On the homology of the higher relation modules ⋮ Narain Gupta's three normal subgroup problem and group homology ⋮ On the quotient of a free group by the commutator of two normal subgroups ⋮ Elements of Finite Order in Free Centre-by-Nilpotent-by-Abelian Groups^# ⋮ 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 ⋮ A limit approach to group homology. ⋮ On torsion in free central extensions of some torsion-free groups ⋮ On elements of order four in certain free central extensions of groups ⋮ Homology theory of free abelianized extensions ⋮ Free centre-by-(abelian-by-exponent 2) groups. ⋮ Some applications of free differential calculus in group theory ⋮ Torsion in the additive group of relatively free Lie rings

Cites Work

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• On the multiplicator of \(F/\gamma_cR\)
• On center by abelian by one‐relator groups
• The free centre-by-metabelian groups

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