Capability, homology, and central series of a pair of groups

DOI10.1006/jabr.1996.0002zbMath0852.20028OpenAlexW2067723548MaRDI QIDQ1907161

Graham J. Ellis

Publication date: 8 December 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0002

zbMATH Keywords

capable groupspairs of groupsrelative central extensionsinner automorphism groupscapable pairsfinitely generated Abelian capable pairsrelative lower central series

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Representations of groups as automorphism groups of algebraic systems (20F29) Derived series, central series, and generalizations for groups (20F14)

Related Items (12)

An Outer Commutator Multiplier and Capability of Finitely Generated Abelian Groups ⋮ Unnamed Item ⋮ The exterior degree of a pair of finite groups. ⋮ Some results on stem covers of crossed modules ⋮ On the autocommutator subgroup and absolute centre of a group. ⋮ Capability and Schur multiplier of a pair of Lie algebras ⋮ The precise center of a crossed module ⋮ On the capability and Schur multiplier of nilpotent Lie algebra of class two ⋮ The commutator subgroup and Schur multiplier of a pair of finite p-groups ⋮ On the Computation of Certain Homotopical Functors ⋮ On the Schur multiplier of a quotient of a direct product of groups ⋮ ON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS

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