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The higher lower central series

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Publication:1182817
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DOI10.1007/BF02773840zbMath0753.20010MaRDI QIDQ1182817

Shmuel Rosset

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Lie ringprojective objecthomogeneous componentscentral extensionintegral homologyfinitely generated nilpotentfree Lie ringsBaer's invariantscategory of epimorphismscentral filtration


Mathematics Subject Classification ID

Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)


Related Items

The commutators of classical groups



Cites Work

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  • Group extensions, representations, and the Schur multiplicator
  • An invariant of free central extensions
  • Baer-invariants, isologism, varietal laws and homology
  • Nilpotent extensions and some associated invariants
  • Über den Multiplikator von \(p\)-Gruppen. (On the multiplicator of \(p\)-groups)
  • Fundamentalgruppe und zweite Bettische Gruppe
  • Endlichkeitskriterien für Kommutatorgruppen
  • Introduction to Algebraic K-Theory. (AM-72)
  • Sur les groupes nilpotents et les anneaux de Lie
  • Representations of groups as quotient groups. II. Minimal central chains of a group
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