Schur multipliers and the Lazard correspondence.

DOI10.1007/s00013-012-0426-7zbMath1315.20013OpenAlexW2025130904MaRDI QIDQ1759607

Seiran Zandi, Bettina Eick, Max Horn

Publication date: 21 November 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0426-7

zbMATH Keywords

finite \(p\)-groupsSchur multiplierscapable groupsepicenterLazard correspondenceSchur coverscapable Lie rings

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Projective representations and multipliers (20C25) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40) Central extensions and Schur multipliers (19C09)

Related Items (11)

Automorphisms of abelian Lie ring extensions ⋮ The enumeration of groups of order \(p^{n}q\) for \(n\leq 5\) ⋮ Isoclinism of pairs of Lie rings ⋮ Schur multiplier and (residual) nilpotent Lie rings ⋮ Nilpotent lie algebras having the Schur multiplier of maximum dimension ⋮ Schur multipliers and the Lazard correspondence. ⋮ Transporting cohomology in Lazard correspondence ⋮ Computing the Schur multipliers of the Lie \(p\)-rings in the family defined by a symbolic Lie \(p\)-ring presentation ⋮ Bogomolov multiplier and the Lazard correspondence ⋮ On Borel complexity of the isomorphism problems for graph related classes of Lie algebras and finite p-groups ⋮ Schreier's extension theory for Lie rings

Cites Work

• An effective version of the Lazard correspondence.
• Homology of multiplicative Lie rings
• Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
• On groups occurring as center factor groups
• Schur multipliers and the Lazard correspondence.
• Multiplicators and groups with finite central factor-groups
• Sur les groupes nilpotents et les anneaux de Lie
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