Inequalities for Baer Invariants of Finite Groups

DOI10.4153/CMB-1998-051-3zbMath0943.20029OpenAlexW2016617468MaRDI QIDQ4235644

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Publication date: 14 June 2000

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1998-051-3

zbMATH Keywords

Baer invariantscentral seriesnonabelian tensor products of groupsnonabelian exterior products of groups

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Software, source code, etc. for problems pertaining to group theory (20-04) Derived series, central series, and generalizations for groups (20F14) Projective representations and multipliers (20C25) Associated Lie structures for groups (20F40)

Related Items (14)

Some Properties of the c-Nilpotent Multiplier and c-Covers of Lie Algebras ⋮ Unnamed Item ⋮ ON THE 2-NILPOTENT MULTIPLIER OF FINITEp-GROUPS ⋮ The nilpotent multipliers of crossed modules ⋮ Some generalisations of Schur's and Baer's theorem and their connection with homological algebra ⋮ Classification of \(p\)-groups via their \(2\)-nilpotent multipliers ⋮ c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras ⋮ On the triple tensor product of prime-power groups ⋮ The dimension of the \(c\)-nilpotent multiplier ⋮ On the relation between upper central quotients and lower central series of a group ⋮ Variants of theorems of Baer and Hall on finite-by-hypercentral groups. ⋮ Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras ⋮ \(c\)-nilpotent multiplier of finite \(p\)-groups ⋮ Tensor products of prime-power groups

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